Datrys y=4-(x-1)^2

$$y = 4 - ( x - 1 ) ^ { 2 }$$

Datrys ar gyfer y

$$y=-\left(x-3\right)\left(x+1\right)$$

Camau Ateb

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

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

I ddod o hyd i wrthwyneb x^{2}-2x+1, dewch o hyd i wrthwyneb pob term.

$$y=4-x^{2}+2x-1$$

Tynnu 1 o 4 i gael 3.

$$y=3-x^{2}+2x$$

Datrys ar gyfer x (complex solution)

$$x=-\sqrt{4-y}+1$$

$$x=\sqrt{4-y}+1$$

Datrys ar gyfer x

$$x=-\sqrt{4-y}+1$$

$$x=\sqrt{4-y}+1\text{, }y\leq 4$$