Question

Is X=-4 a root of the quadratic equation 2x² +5x-12=0​

Answer 1

Answer:

Yes, x=-4 is a root of the quadratic equation 2x²+5x-12=0

Step-by-step explanation:

2x²+5x-12=0

let x=-4

2(-4)²+5(-4)-12

2(16)-20-12

32-32=0

0=0

Answer 2

Answer:

$2x {}^{2} + 5x - 12 = 0 \\ \\ 2x {}^{2} + (8 - 3)x - 12 = 0 \\ \\ 2x {}^{2} + 8x - 3x - 12 = 0 \\ \\ 2x(x + 4) - 3(x + 4) = 0 \\ \\ (x + 4) \\ (2x - 3) = 0 \\ \\ (x = - 4) \\ (x = \frac{3}{2} ).$

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yes , -4 is the root of this quadratic equation.