Question
Which value of `x` is a solution to this equation? 3x^2=7x+6
Answers
Answered by
GPT 3.5
To find the solution for `x`, we need to first rearrange the equation to set it equal to 0:
3x^2 - 7x - 6 = 0
Next, we can find the solution using the quadratic formula:
x = (-(-7) ± √((-7)^2 - 4(3)(-6))) / 2(3)
x = (7 ± √(49 + 72)) / 6
x = (7 ± √121) / 6
x = (7 ± 11) / 6
This gives us two possible solutions for `x`:
x = (7 + 11) / 6 = 18 / 6 = 3
x = (7 - 11) / 6 = -4 / 6 = -2/3
Therefore, the values of `x` that are solutions to the equation 3x^2 = 7x + 6 are x = 3 and x = -2/3.
3x^2 - 7x - 6 = 0
Next, we can find the solution using the quadratic formula:
x = (-(-7) ± √((-7)^2 - 4(3)(-6))) / 2(3)
x = (7 ± √(49 + 72)) / 6
x = (7 ± √121) / 6
x = (7 ± 11) / 6
This gives us two possible solutions for `x`:
x = (7 + 11) / 6 = 18 / 6 = 3
x = (7 - 11) / 6 = -4 / 6 = -2/3
Therefore, the values of `x` that are solutions to the equation 3x^2 = 7x + 6 are x = 3 and x = -2/3.