Question

Solve the following quadratic equation using the quadratic formula and then choose the correct solution set.

5
`x^(2)` + 7x = 6

Answer 1

Hi,

5x²+7x = 6

5x²+7x-6 = 0

Δ = 49 - (4*5*-6)

Δ= 49 - (-120)

Δ= 49+120

Δ=169 and √169 = 13 and -√169 = -13

Δ≥ 0 so the equation has two roots in R

s1 : ( -7 +13) /10 = 6/10 = 3/5

s2 = (-7-13)/10 = -20/10 = -2