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AP EAMCET2016MathematicsQuadratic Equation

The product and sum of the roots of the equation |x^2 |-5|x|-24=0 are respectively

Options

  1. A-64,0
  2. B-24, 5
  3. C5, -24
  4. D0, 72

Correct answer

A. -64,0

Step-by-step solution

(a) We have, |x|^2-5|x|-24=0 aligned & (|x|-8)(|x|+3)=0 & |x|-8 or |x|=-3 is rejected. & |x|=8 & x= 8 aligned The roots of this equation. a x=8 and -8 . Hence, product of roots 8 (-8)=-64 and sum of roots =+8-8=0

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