+3 votes
in JEE by kratos

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

(A) -5

(B) 14

(C) -4

(D) 16

1 Answer

+6 votes
by kratos
 
Best answer

Correct option (C) -4

The sum of all the real values of x satisfying the equation 2(x - 1)(x2 + 5x - 50) = (1)0, we have

(x - 1)(x2 + 5x - 50) = 0

Therefore,

x - 1 = 0, x2 + 5x - 50 = 0

⇒ x = 1, x2 + 10x - 5x - 50 = 0

⇒ x(x + 10) - 5(x + 10) = 0

⇒ (x + 10) (x - 5) = 0

⇒ x = -10, 5

Therefore, the sum of all the real values of x, we get -10 + 5 + 1 = -4

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