Question
Which value of `x` is a solution to this equation?
`3x^{2}=7x+6`
answer choices
-1
13
6
3
`3x^{2}=7x+6`
answer choices
-1
13
6
3
Answers
Answered by
GPT 3.5
The solutions to the equation `3x^2 = 7x + 6` can be found by setting it equal to zero and factoring or using the quadratic formula.
So, `3x^2 - 7x - 6 = 0`.
Factoring, we get `(3x + 2)(x - 3) = 0`.
Setting each factor equal to zero, we find two solutions: `x = -2/3` and `x = 3`.
Therefore, the value `-1` is not a solution to the equation `3x^2 = 7x + 6`. The correct answer is `3`.
So, `3x^2 - 7x - 6 = 0`.
Factoring, we get `(3x + 2)(x - 3) = 0`.
Setting each factor equal to zero, we find two solutions: `x = -2/3` and `x = 3`.
Therefore, the value `-1` is not a solution to the equation `3x^2 = 7x + 6`. The correct answer is `3`.
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