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# Write the Sum of Real Roots of the Equation X2 + |X| − 6 = 0. - Mathematics

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#### Question

Write the sum of real roots of the equation x2 + |x| − 6 = 0.

#### 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 xx 1 xx -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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