Question

Solve. 2x2 + 14x = −24 A) x = 2, x = 3 B) x = 3, x = 4 C) x = −2, x = −3 D) x = −4, x = −3

Answer 1

Answer:

Answer is option d) x = -4 , x = -3

Step-by-step explanation:

$given \: equation \: is \\ 2 {x}^{2} + 14x = - 24 \\ 2 {x}^{2} + 14x + 24 = 0 \: \\ dividing \: this \: equation \: by \: 2 \: we \: get \\ {x}^{2} + 7x + 12 = 0 \\ by \: factorization \\ (x + 4)(x + 3) = 0 \\ x = - 4 \: \: \: \:( or) \: \: \: x = - 3$

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