Datrys 2*(x-1)^2=c-4x

$$2 \cdot ( x - 1 ) ^ { 2 } = c - 4 x$$

Datrys ar gyfer c

$$c=2\left(x^{2}+1\right)$$

Camau Ateb

Defnyddio'r theorem binomaidd \left(a-b\right)^{2}=a^{2}-2ab+b^{2} i ehangu'r \left(x-1\right)^{2}.

$$2\left(x^{2}-2x+1\right)=c-4x$$

Defnyddio’r briodwedd ddosbarthu i luosi 2 â x^{2}-2x+1.

$$2x^{2}-4x+2=c-4x$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$c-4x=2x^{2}-4x+2$$

Ychwanegu 4x at y ddwy ochr.

$$c=2x^{2}-4x+2+4x$$

Cyfuno -4x a 4x i gael 0.

$$c=2x^{2}+2$$

Datrys ar gyfer x (complex solution)

$$x=-\frac{\sqrt{2\left(c-2\right)}}{2}$$

$$x=\frac{\sqrt{2\left(c-2\right)}}{2}$$

Datrys ar gyfer x

$$x=\frac{\sqrt{2\left(c-2\right)}}{2}$$

$$x=-\frac{\sqrt{2\left(c-2\right)}}{2}\text{, }c\geq 2$$