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The qudratic equation x2 + 15 |x| + 14 = 0 has (A) only positive solutions (B) only negative solutions (C) no solution (D) both positive and negative solution

The qudratic equation x2
+ 15 |x| + 14 = 0 has
(A) only positive solutions (B) only negative solutions
(C) no solution (D) both positive and negative solution

Grade:

2 Answers

Arun
25763 Points
11 months ago
 
Dear Aniket
 
x^2 + 15 |x| + 14 = 0
 
on factorisation
 
(|x|+ 14) (|x| + 1) = 0
 
hence | x| = – 14 , – 1
 
which is not possible
hence no solution
Vikas TU
14149 Points
11 months ago
The result is a negative number. The discriminant is negative, so the quadratic equation has no solution. A discriminant of zero means the equation has one solution, and it tells you nothing about direction that the graph of the parabola opens.

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