#### Question

Write the sum of real roots of the equation *x*^{2} + |*x*| − 6 = 0.

#### Solution

The given quadric equation is *x*^{2} + |*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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#### APPEARS IN

Solution Write the Sum of Real Roots of the Equation X2 + |X| − 6 = 0. Concept: Solutions of Quadratic Equations by Factorization.