Solution set of 2x² + 2x - 11 =1 is?
- (-3, 2)
- (-3, -2)
- (1, 3)
- None of these
Explanation
To find the solution set of 2x² + 2x - 11 = 1:
First, subtract 1 from both sides:
2x² + 2x - 12 = 0
Now, divide by 2:
x² + x - 6 = 0
Factor the quadratic:
(x + 3)(x - 2) = 0
This gives us two possible solutions:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
So, the solution set is:
(-3, 2)
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