Move 1 to the left side of the equation by subtracting it from both sides.
Use the quadratic formula to find the solutions.
Substitute the values a=2, b=-5, and c=-1 into the quadratic formula and solve for z.
Simplify the numerator.
Raise -5 to the power of 2.
Multiply 2 by -1.
Multiply -4 by -2.
Add 25 and 8.
Multiply 2 by 2.
The final answer is the combination of both solutions.
The result can be shown in multiple forms.
Solve for z 2z^2-5z=1