Find all solutions to the equation 6x^2 - 31x + 42 = 0. If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in a + bi form.
+1632 To get the solutions, we must first apply the quadratic formula to the equation above.
The quadratic formula is: \(-b {+\over} \sqrt{b^2 - 4ac}\over2a\) where \(a\) is the coefficient of \(x^2\), \(b\) is the coefficient of \(x\), and \(c\) is the constant.
Now to apply it.
\(31 {+\over} \sqrt{961 - 1008}\over12\)
Now we have the two solutions.
Here they are:
\(31 + i\sqrt{47}\over12\) , \(31 - i\sqrt{47}\over12\)
