Datrys 194^2+left(x-1160right)^2=left(1354-xright)^2

$${ 194 }^{ 2 } + { \left(x-1160 \right) }^{ 2 } = { \left(1354-x \right) }^{ 2 }$$

Datrys ar gyfer x

$$x=1160$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfrifo 194 i bŵer 2 a chael 37636.

$$37636+\left(x-1160\right)^{2}=\left(1354-x\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-1160\right)^{2}.

$$37636+x^{2}-2320x+1345600=\left(1354-x\right)^{2}$$

Adio 37636 a 1345600 i gael 1383236.

$$1383236+x^{2}-2320x=\left(1354-x\right)^{2}$$

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(1354-x\right)^{2}.

$$1383236+x^{2}-2320x=1833316-2708x+x^{2}$$

Ychwanegu 2708x at y ddwy ochr.

$$1383236+x^{2}-2320x+2708x=1833316+x^{2}$$

Cyfuno -2320x a 2708x i gael 388x.

$$1383236+x^{2}+388x=1833316+x^{2}$$

Tynnu x^{2} o'r ddwy ochr.

$$1383236+x^{2}+388x-x^{2}=1833316$$

Cyfuno x^{2} a -x^{2} i gael 0.

$$1383236+388x=1833316$$

Tynnu 1383236 o'r ddwy ochr.

$$388x=1833316-1383236$$

Tynnu 1383236 o 1833316 i gael 450080.

$$388x=450080$$

Rhannu’r ddwy ochr â 388.

$$x=\frac{450080}{388}$$

Rhannu 450080 â 388 i gael 1160.

$$x=1160$$