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  4. The sum of all the real values of x satisfying the equation 2(x-1)(x2 + 5 x-50) = 1 is :

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

JEE MainJEE Main 2017Complex Numbers and Quadratic Equations

Solution:

$(x-5)\left(x^{2}+5 x-50\right)=0$
$\Rightarrow (x-5)(x+10)(x-5)=0$
$\Rightarrow x=1,5,-10 \,\,\,\,\,$ sum $=-4$