Solve for z 2z^2-13z=1

Math
2z2-13z=1
Move 1 to the left side of the equation by subtracting it from both sides.
2z2-13z-1=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=2, b=-13, and c=-1 into the quadratic formula and solve for z.
13±(-13)2-4⋅(2⋅-1)2⋅2
Simplify.
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Simplify the numerator.
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Raise -13 to the power of 2.
z=13±169-4⋅(2⋅-1)2⋅2
Multiply 2 by -1.
z=13±169-4⋅-22⋅2
Multiply -4 by -2.
z=13±169+82⋅2
Add 169 and 8.
z=13±1772⋅2
z=13±1772⋅2
Multiply 2 by 2.
z=13±1774
z=13±1774
The final answer is the combination of both solutions.
z=13+1774,13-1774
The result can be shown in multiple forms.
Exact Form:
z=13+1774,13-1774
Decimal Form:
z=6.57603367…,-0.07603367…
Solve for z 2z^2-13z=1

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