Datrys HB=1500/314*5*(5-sqrt{5^2-2295^2)}

$$H B = \frac { 1500 } { 314 \cdot 5 \cdot ( 5 - \sqrt { 5 ^ { 2 } - 2295 ^ { 2 } } ) }$$

Datrys ar gyfer B

$$B=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639H}$$

$$H\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluosi 5 a 314 i gael 1570.

$$HB=\frac{1500}{1570\left(5-\sqrt{5^{2}-2295^{2}}\right)}$$

Cyfrifo 5 i bŵer 2 a chael 25.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-2295^{2}}\right)}$$

Cyfrifo 2295 i bŵer 2 a chael 5267025.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-5267025}\right)}$$

Tynnu 5267025 o 25 i gael -5267000.

$$HB=\frac{1500}{1570\left(5-\sqrt{-5267000}\right)}$$

Ffactora -5267000=\left(10i\right)^{2}\times 52670. Ailysgrifennu ail isradd y lluoswm \sqrt{\left(10i\right)^{2}\times 52670} fel lluoswm ail israddau \sqrt{\left(10i\right)^{2}}\sqrt{52670}. Cymryd isradd \left(10i\right)^{2}.

$$HB=\frac{1500}{1570\left(5-10i\sqrt{52670}\right)}$$

Defnyddio’r briodwedd ddosbarthu i luosi 1570 â 5-10i\sqrt{52670}.

$$HB=\frac{1500}{7850-15700i\sqrt{52670}}$$

Mae'n rhesymoli enwadur \frac{1500}{7850-15700i\sqrt{52670}} drwy luosi'r rhifiadur a'r enwadur â 7850+15700i\sqrt{52670}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{\left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right)}$$

Ystyriwch \left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{7850^{2}-\left(-15700i\sqrt{52670}\right)^{2}}$$

Cyfrifo 7850 i bŵer 2 a chael 61622500.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\sqrt{52670}\right)^{2}}$$

Ehangu \left(-15700i\sqrt{52670}\right)^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\right)^{2}\left(\sqrt{52670}\right)^{2}}$$

Cyfrifo -15700i i bŵer 2 a chael -246490000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\left(\sqrt{52670}\right)^{2}\right)}$$

Sgwâr \sqrt{52670} yw 52670.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\times 52670\right)}$$

Lluosi -246490000 a 52670 i gael -12982628300000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-12982628300000\right)}$$

Lluosi -1 a -12982628300000 i gael 12982628300000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500+12982628300000}$$

Adio 61622500 a 12982628300000 i gael 12982689922500.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{12982689922500}$$

Rhannu 1500\left(7850+15700i\sqrt{52670}\right) â 12982689922500 i gael \frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right).

$$HB=\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi \frac{1}{8655126615} â 7850+15700i\sqrt{52670}.

$$HB=\frac{10}{11025639}+\frac{20}{11025639}i\sqrt{52670}$$

Aildrefnu'r termau.

$$BH=\frac{10}{11025639}+\frac{20}{11025639}\sqrt{52670}i$$

Mae'r hafaliad yn y ffurf safonol.

$$HB=\frac{10+20\sqrt{52670}i}{11025639}$$

Rhannu’r ddwy ochr â H.

$$\frac{HB}{H}=\frac{10+20\sqrt{52670}i}{11025639H}$$

Mae rhannu â H yn dad-wneud lluosi â H.

$$B=\frac{10+20\sqrt{52670}i}{11025639H}$$

Rhannwch \frac{10+20i\sqrt{52670}}{11025639} â H.

$$B=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639H}$$

Datrys ar gyfer H

$$H=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639B}$$

$$B\neq 0$$

Camau ar gyfer Datrys Hafaliad Llinol

Lluosi 5 a 314 i gael 1570.

$$HB=\frac{1500}{1570\left(5-\sqrt{5^{2}-2295^{2}}\right)}$$

Cyfrifo 5 i bŵer 2 a chael 25.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-2295^{2}}\right)}$$

Cyfrifo 2295 i bŵer 2 a chael 5267025.

$$HB=\frac{1500}{1570\left(5-\sqrt{25-5267025}\right)}$$

Tynnu 5267025 o 25 i gael -5267000.

$$HB=\frac{1500}{1570\left(5-\sqrt{-5267000}\right)}$$

Ffactora -5267000=\left(10i\right)^{2}\times 52670. Ailysgrifennu ail isradd y lluoswm \sqrt{\left(10i\right)^{2}\times 52670} fel lluoswm ail israddau \sqrt{\left(10i\right)^{2}}\sqrt{52670}. Cymryd isradd \left(10i\right)^{2}.

$$HB=\frac{1500}{1570\left(5-10i\sqrt{52670}\right)}$$

Defnyddio’r briodwedd ddosbarthu i luosi 1570 â 5-10i\sqrt{52670}.

$$HB=\frac{1500}{7850-15700i\sqrt{52670}}$$

Mae'n rhesymoli enwadur \frac{1500}{7850-15700i\sqrt{52670}} drwy luosi'r rhifiadur a'r enwadur â 7850+15700i\sqrt{52670}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{\left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right)}$$

Ystyriwch \left(7850-15700i\sqrt{52670}\right)\left(7850+15700i\sqrt{52670}\right). Gellir trawsnewid lluosi yn wahaniaeth rhwng sgwariau drwy ddefnyddio’r rheol: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{7850^{2}-\left(-15700i\sqrt{52670}\right)^{2}}$$

Cyfrifo 7850 i bŵer 2 a chael 61622500.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\sqrt{52670}\right)^{2}}$$

Ehangu \left(-15700i\sqrt{52670}\right)^{2}.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-15700i\right)^{2}\left(\sqrt{52670}\right)^{2}}$$

Cyfrifo -15700i i bŵer 2 a chael -246490000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\left(\sqrt{52670}\right)^{2}\right)}$$

Sgwâr \sqrt{52670} yw 52670.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-246490000\times 52670\right)}$$

Lluosi -246490000 a 52670 i gael -12982628300000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500-\left(-12982628300000\right)}$$

Lluosi -1 a -12982628300000 i gael 12982628300000.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{61622500+12982628300000}$$

Adio 61622500 a 12982628300000 i gael 12982689922500.

$$HB=\frac{1500\left(7850+15700i\sqrt{52670}\right)}{12982689922500}$$

Rhannu 1500\left(7850+15700i\sqrt{52670}\right) â 12982689922500 i gael \frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right).

$$HB=\frac{1}{8655126615}\left(7850+15700i\sqrt{52670}\right)$$

Defnyddio’r briodwedd ddosbarthu i luosi \frac{1}{8655126615} â 7850+15700i\sqrt{52670}.

$$HB=\frac{10}{11025639}+\frac{20}{11025639}i\sqrt{52670}$$

Aildrefnu'r termau.

$$BH=\frac{10}{11025639}+\frac{20}{11025639}\sqrt{52670}i$$

Mae'r hafaliad yn y ffurf safonol.

$$BH=\frac{10+20\sqrt{52670}i}{11025639}$$

Rhannu’r ddwy ochr â B.

$$\frac{BH}{B}=\frac{10+20\sqrt{52670}i}{11025639B}$$

Mae rhannu â B yn dad-wneud lluosi â B.

$$H=\frac{10+20\sqrt{52670}i}{11025639B}$$

Rhannwch \frac{10+20i\sqrt{52670}}{11025639} â B.

$$H=\frac{10\left(1+2\sqrt{52670}i\right)}{11025639B}$$