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