Sum of all real values of x satisfying the equation {2^{left( {x - 1} right)left( {{x^2} + 5x -

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4-2.Quadratic Equations and Inequations

hard

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

A

$16$

B

$14$

C

$-4$

D

$-5$

(JEE MAIN-2017)

Solution

$(x – l)(x^2 +5x -50)\, =0$

$ \Rightarrow $ $(x – l)(x + 10) (x -5)\,=0$

$ \Rightarrow $ $x\, = 1, 5, -10$

sum $= -4$

Standard 11

Mathematics

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