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QJEEM17Ma9b9e: JEE Main 2017 Mathematics - Class 11 JEEM17Ma9b9e Solution: The sum of all the real values of x satisfying the equation 2…
The sum of all the real values of x satisfying the equation
2(x 1)(x2 + 5x 50) = 1 is :
2(x 1)(x2 + 5x 50) = 1 is :
Multiple Choice Options
- A 16
- B 14
- C 4
- D 5
Step-by-Step Verified Solution
We know, 2x = 1 only when x = 0.
Similarly, 2(x 1)(x2 + 5x 50) = 1 when
(x 1)(x2 + 5x 50) = 0
(x - 1)(x + 10)(x - 5) = 0
x = 1, -10, 5
Sum of real values of x = 1 + (-10) + 5 = -4
Similarly, 2(x 1)(x2 + 5x 50) = 1 when
(x 1)(x2 + 5x 50) = 0
(x - 1)(x + 10)(x - 5) = 0
x = 1, -10, 5
Sum of real values of x = 1 + (-10) + 5 = -4