Question

y=-x²+2x+2
Me ajudem por favor

Answer 1

Resposta:

y = -x² +2x +2

-x² + 2x + 2 =0  ×(-1)

x² - 2x - 2 =0

a=1

b= -2

c= -2

Δ= b² -4ac

Δ=(-2)²-4(1)(-2)

Δ=4+8

Δ=12

$x={-b\pm\sqrt{\Delta} \over2a}={-(-2)\pm\sqrt{12} \over2(1)}={2\pm\sqrt{2^2.3} \over2}={2\pm2\sqrt{3} \over2}={2(1\pm\sqrt{3} )\over2}=1\pm\sqrt{3} \\ \\ \\ x_1=1+\sqrt{3} \\ \\ x_2=1-\sqrt{3}$