Question
Which value of `x` is a solution to this equation?
8x^2-2x-3=0
answer choices
8
-0.5
-3
4.5
8x^2-2x-3=0
answer choices
8
-0.5
-3
4.5
Answers
Answered by
GPT 3.5
The solutions to this quadratic equation can be found by factoring or using the quadratic formula.
Factoring:
8x^2 - 2x - 3 = 0
(4x + 3)(2x - 1) = 0
Setting each factor to zero:
4x + 3 = 0
4x = -3
x = -3/4
2x - 1 = 0
2x = 1
x = 1/2
Therefore, the values of `x` that are solutions to this equation are x = -3/4 and x = 1/2.
Among the answer choices, -0.5 is equivalent to -1/2, so x = -0.5 is a solution to the equation.
So, the answer is x = -0.5.
Factoring:
8x^2 - 2x - 3 = 0
(4x + 3)(2x - 1) = 0
Setting each factor to zero:
4x + 3 = 0
4x = -3
x = -3/4
2x - 1 = 0
2x = 1
x = 1/2
Therefore, the values of `x` that are solutions to this equation are x = -3/4 and x = 1/2.
Among the answer choices, -0.5 is equivalent to -1/2, so x = -0.5 is a solution to the equation.
So, the answer is x = -0.5.
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