Question

resolução da equação: 2x²-50=0 ?

Answer 1

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

a = 2, b = 0, c = -50

Δ=b2−4ac
Δ=(0)2−4*(2*(−50)
Δ=0+400
Δ=400

$x = \frac{-b \pm \sqrt{\triangle}}{2*a} \\ \\ x = \frac{0 \pm \sqrt{400}}{2*2} \\ \\ x' = \frac{0 + \sqrt{400}}{4} \\ \\ x' = \frac{0 + 20}{4} \\ \\ x' = \frac{20}{4} \\ \\ x' = 5 \\ \\ \\ x'' = \frac{0 - 20}{4} \\ \\ x'' = \frac{-20}{4} \\ \\ x'' = -5$

S= {5, - 5}

Answer 2

$2x^2-50=0\\\\2x^2=0+50\\\\2x^2=50\\\\x^2= \frac{50}{2} \\\\x^2=25\\\\x=\pm \sqrt{25} \\\\x=\pm 5$