Question

Find the sum of the roots of the equation x² + |x| - 6 = 0.

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Answer 1

Answer:

Solution:

The given quadric equation is x2 + |x| − 6 = 0.

Here, a =1 ,b =±1 and ,c = -6

As we know that

$D = {b}^{2} - 4ac$

putting the value of a =1,b=±1 and, c = -6

$= ( ±1 {)}^{2} - 4 \times 1 \times - 6$

= 1 + 24

= 25

Since, D ≥ 0

Therefore, root of the given equation arereal and distinct.

Thus, sum of the roots be = 0.

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Answer 2

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