Issolvi y=3(x-1)^2-5

$$y = 3 ( x - 1 ) ^ { 2 } - 5$$

Solvi għal y

$$y=3\left(x-1\right)^{2}-5$$

Passi tas-Soluzzjonijiet

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

$$y=3\left(x^{2}-2x+1\right)-5$$

Uża l-propjetà distributtiva biex timmultiplika 3 b'x^{2}-2x+1.

$$y=3x^{2}-6x+3-5$$

Naqqas 5 minn 3 biex tikseb -2.

$$y=3x^{2}-6x-2$$

Solvi għal x (complex solution)

$$x=-\frac{\sqrt{3y+15}}{3}+1$$

$$x=\frac{\sqrt{3y+15}}{3}+1$$

Solvi għal x

$$x=-\frac{\sqrt{3y+15}}{3}+1$$

$$x=\frac{\sqrt{3y+15}}{3}+1\text{, }y\geq -5$$