4-2.Quadratic Equations and Inequations
hard

$x$ के उन सभी वास्तविक मानों का योग जो समीकरण $\left(x^{2}-5 x+5\right)^{x^{2}+4 x-60}=1$ को संतुष्ट करते हैं, है:

A

$6$

B

$5$

C

$3$

D

$-4$

(JEE MAIN-2016)

Solution

$x^{2}-5 x+5=1$

$\Rightarrow x=1,4$

$x^{2}-5 x+5=-1$

$\Rightarrow x=2,3$

but $3$ is rejected

$x^{2}+4 x-60=0$

$\Rightarrow x=-10,6$

$\operatorname{sum}=3$

Standard 11
Mathematics

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