JEE Main 2017 · 9 Apr · Shift 1 · Mathematics Q62

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MathematicsSingle correct+4 / -1Question 62 of 90

The sum of all the real values of $x$ satisfying the equation $2^{(x-1)(x^2+5x-50)}=1$ is :

−4

−5

Answer and worked solution

Official answer: C

$2^{(\dots)}=1$ needs $(x-1)(x^2+5x-50)=0$ . The roots are $x=1$ and the two real roots of $x^2+5x-50$ (discriminant 225), which sum to −5. In total, $1-5=-4$ .

Topics:Equations reducible to quadratic Roots and coefficients

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JEE Main 2017 · 9 Apr · Shift 1, Mathematics question 62