Issolvi y=2(x-1)^2-3

$$y = 2 ( x - 1 ) ^ { 2 } - 3$$

Solvi għal y

$$y=2\left(x-1\right)^{2}-3$$

Passi tas-Soluzzjonijiet

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(x-1\right)^{2}.

$$y=2\left(x^{2}-2x+1\right)-3$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'x^{2}-2x+1.

$$y=2x^{2}-4x+2-3$$

Naqqas 3 minn 2 biex tikseb -1.

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

Solvi għal x (complex solution)

$$x=-\frac{\sqrt{2y+6}}{2}+1$$

$$x=\frac{\sqrt{2y+6}}{2}+1$$

Solvi għal x

$$x=-\frac{\sqrt{2y+6}}{2}+1$$

$$x=\frac{\sqrt{2y+6}}{2}+1\text{, }y\geq -3$$