Find the root(s) of the quadratic equation 2x^2+5x-12=0

xafeguerpf3l

xafeguerpf3l

Answered question

2023-02-24

Find the root(s) of the quadratic equation 2 x 2 + 5 x 12 = 0

Answer & Explanation

Cheyenne Lynn

Cheyenne Lynn

Beginner2023-02-25Added 10 answers

So we have 2 x 2 + 5 x 12 = 0
Let α , β be the roots of the equation a x 2 + b x + c = 0
Then α = b D 2 a
β = b D 2 a
Here, D = 5 2 4 ( 2 ) ( 1 ) = 121 D = 11 α = 5 + 11 2 × 2 = 3 2 β = 5 11 2 × 2 = 4

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