Question

a)2x²-8x+8=               b) 5x²-5x+6=

Answer 1

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a)

$2 x^{2} -8x + 8 = 0$

a = 2, b = -8, c = 8
Δ=b2−4ac
Δ=(−8)2−4*(2)*(8)
Δ=64−64
Δ=0

$x = \dfrac{-(-8) \pm \sqrt{0}}{2*2} \\ \\ \\ x = \dfrac{8 \pm 0}{4} \\ \\ \\ x' = \dfrac{8 + 0}{4} \\ \\ \\ x' = \dfrac{8}{4} \\ \\ \\ x' = \dfrac{8}{4} \\ \\ \\ \\ x' = 2 \\ \\ \\ x' = \dfrac{8 - 0}{4} \\ \\ \\ x'' = \dfrac{8}{4} \\ \\ \\ x'' = \dfrac{8}{4} \\ \\ \\ x'' = 2$

S = {2}

=======================================
$b \\ 5x^2-5x+6=0$

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a=5, b=5, c=6
Δ=b^2−4ac
Δ=(5)2−4*(5)*(6)
Δ=25−120
Δ= −95

Sem solução para o conjunto dos números reais (R)