Solve the following quadratic equation using the quadratic formula and then choose the correct solution set. 5x^{2} +

Question

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

5x^{2} + 7x = 6

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Brielle 2 months 2021-09-23T23:48:18+00:00 1 Answer 0 views 0

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    2021-09-23T23:49:39+00:00

    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

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