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In Mathematics / High School | 2014-04-23

How do you solve [tex]x^2 + 16x + 63 = 0[/tex]?

Asked by mckaylacompton

Answer (2)

x 2 + 16 x + 63 = 0 a = 1 , b = 16 , c = 63 Δ = b 2 − 4 a c = 1 6 2 − 4 ⋅ 1 ⋅ 63 = 256 − 252 = 4 x 1 ​ = 2 a − b − Δ ​ = 2 − 16 − 4 ​ ​ = 2 − 16 − 2 ​ = − 2 − 18 ​ = − 9 x 2 ​ = 2 a − b + Δ ​ = 2 − 16 + 4 ​ ​ = 2 − 16 + 2 ​ = − 2 − 14 ​ = − 7 A n s w er : x = − 7 or x = − 9

Answered by Lilith | 2024-06-10

To solve the equation x 2 + 16 x + 63 = 0 , we use the quadratic formula. The solutions are x = − 9 and x = − 7 . This is achieved by calculating the discriminant and applying the formula step-by-step.
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Answered by Lilith | 2024-10-02