Réitigh x^0=frac{30+4^2+sqrt{8}1+5^2x5}{4x+15+2(6-5)}

$$x ^ { 0 } = \frac { 30 + 4 ^ { 2 } + \sqrt { 8 } 1 + 5 ^ { 2 } x 5 } { 4 x + 15 + 2 ( 6 - 5 ) }$$

Réitigh do x_5.

$$x_{5}=\frac{4x-2\sqrt{2}-29}{25}$$

$$x\neq 0\text{ and }x\neq -\frac{17}{4}$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Méadaigh an dá thaobh den chothromóid faoi 4x+17.

$$\left(4x+17\right)x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Úsáid an t-airí dáileach chun 4x+17 a mhéadú faoi x^{0}.

$$4xx^{0}+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Chun cumhachtaí den bhonn céanna a iolrú, suimigh a n-easpónaint. Suimigh 1 agus 0 chun 1 a bhaint amach.

$$4x^{1}+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Ríomh cumhacht x de 1 agus faigh x.

$$4x+17x^{0}=30+4^{2}+1\sqrt{8}+5^{2}x_{5}$$

Ríomh cumhacht 4 de 2 agus faigh 16.

$$4x+17x^{0}=30+16+1\sqrt{8}+5^{2}x_{5}$$

Suimigh 30 agus 16 chun 46 a fháil.

$$4x+17x^{0}=46+1\sqrt{8}+5^{2}x_{5}$$

Fachtóirigh 8=2^{2}\times 2. Athscríobh fréamh cearnach an toraidh \sqrt{2^{2}\times 2} mar thoradh na bhfréamhacha cearnacha \sqrt{2^{2}}\sqrt{2}. Tóg fréamh chearnach 2^{2}.

$$4x+17x^{0}=46+1\times 2\sqrt{2}+5^{2}x_{5}$$

Méadaigh 1 agus 2 chun 2 a fháil.

$$4x+17x^{0}=46+2\sqrt{2}+5^{2}x_{5}$$

Ríomh cumhacht 5 de 2 agus faigh 25.

$$4x+17x^{0}=46+2\sqrt{2}+25x_{5}$$

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$46+2\sqrt{2}+25x_{5}=4x+17x^{0}$$

Bain 46 ón dá thaobh.

$$2\sqrt{2}+25x_{5}=4x+17x^{0}-46$$

Bain 2\sqrt{2} ón dá thaobh.

$$25x_{5}=4x+17x^{0}-46-2\sqrt{2}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$25x_{5}=4x-2\sqrt{2}-29$$

Roinn an dá thaobh faoi 25.

$$\frac{25x_{5}}{25}=\frac{4x-2\sqrt{2}-29}{25}$$

Má roinntear é faoi 25 cuirtear an iolrúchán faoi 25 ar ceal.

$$x_{5}=\frac{4x-2\sqrt{2}-29}{25}$$

Réitigh do x. (complex solution)

$$x=\frac{25x_{5}}{4}+\frac{\sqrt{2}}{2}+\frac{29}{4}$$

$$x_{5}\neq \frac{-2\sqrt{2}-29}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-46}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-29}{25}$$

Réitigh do x.

$$x=\frac{25x_{5}}{4}+\frac{\sqrt{2}}{2}+\frac{29}{4}$$

$$x_{5}\neq \frac{-2\sqrt{2}-29}{25}\text{ and }x_{5}\neq \frac{-2\sqrt{2}-46}{25}$$