Question

find the roots of the following equation by formula method :
$2x ^2 + x - 6 = 0$
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Answer 1

Answer:

here is ur answer......

Answer 2

SOLUTION:-

Given:

2x² + x -6 =0

To find:

The roots.

Explanation:

Comparing equation with Ax²+Bx +C=0

•A=2

•B=1

•C= -6

We know that, D= b² -4ac.

Therefore,

D= (1)² - 4×2 ×(-6)

D= 1 -8 ×(-6)

D= 1 -(-48)

D= 1 +48

D= 49

The roots of the equation given by;

$x = \frac{ - b ± \sqrt{D} }{2a} \\ \\ = > x = \frac{ - 1 ± \sqrt{49} }{2 \times 1} \\ \\ = > x = \frac{ - 1 ± 7}{2} \\ [Solving \: both \: positive \: and \: negative] \\ = >x = \frac{ - 1 + 7}{2} \\ \\ = > x = \frac{6}{2} \\ \\ = > x = 3$

&

$x = \frac{ - 1 - 7}{2} \\ \\ = > x = \frac{ - 8}{2} \\ \\ = > x = - 4$

Thus,

The roots of the equation are 3 &-4.

Thank you.