Question

Verify whether -2 and -3/2 are the roots of the quadratic equation 2x²-x-6=0.





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Answer 1

Answer:

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Answer 2

Answer:

-2 is not  the roots of the quadratic equation 2x²-x-6=0.

-3/2 is the roots of the quadratic equation 2x²-x-6=0.

Step-by-step explanation:

2x²-x-6=0.

PUTTING X = -2

$2(-2)^{2} -(-2)-6 = 0\\2(4)+2-6 = 0\\8+2-6=0\\10-6=0\\4\neq 0$

PUTTING X =  -3/2

$2(\frac{-3}{2} )^{2} -(\frac{-3}{2} )-6=0$

$2(\frac{9}{4} )+\frac{3}{2} -6=0\\\\\frac{9}{2} +\frac{3}{2} -6=0$

$\frac{12}{2} -6=0\\6-6=0\\0=0$

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