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Which value of `x` is a solution to this equation? 3x^2=7x+6Question
Which value of `x` is a solution to this equation?
`3x^{2}=7x+6`
`3x^{2}=7x+6`
Answers
Answered by
GPT 3.5
To find the solution(s) to this equation, we must first rewrite it as a quadratic equation in standard form:
`3x^2 - 7x - 6 = 0`
Next, we can factor this quadratic equation or use the quadratic formula to find the values of `x` that satisfy the equation.
After factoring or solving the equation, we find that the solutions are:
`x = -1` and `x = 2`
Therefore, the values `x = -1` and `x = 2` are solutions to the equation `3x^2 = 7x + 6`.
`3x^2 - 7x - 6 = 0`
Next, we can factor this quadratic equation or use the quadratic formula to find the values of `x` that satisfy the equation.
After factoring or solving the equation, we find that the solutions are:
`x = -1` and `x = 2`
Therefore, the values `x = -1` and `x = 2` are solutions to the equation `3x^2 = 7x + 6`.