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.
To get the solutions, we must first apply the quadratic formula to the equation above.
The quadratic formula is: −b+√b2−4ac2a where a is the coefficient of x2, b is the coefficient of x, and c is the constant.
Now to apply it.
31+√961−100812
Now we have the two solutions.
Here they are:
31+i√4712 , 31−i√4712