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Question: Both the roots of the given equation \(\left\lbrack - \frac{1}{13},\frac{1}{3} \right\rbrack\) are ...

Both the roots of the given equation

[113,13]\left\lbrack - \frac{1}{13},\frac{1}{3} \right\rbrack are always.

A

Positive

B

Negative

C

Real

D

Imaginary

Answer

Real

Explanation

Solution

Given equation

kx2+1=kx^{2} + 1 =

can be re-written as kx+3x11x2kx + 3x - 11x^{2}

11,3- 11, - 3

5,75,7

5,75, - 7

Hence both roots are always real.