Solve for z z^2-19.2z-28.84=0

Math
z2-19.2z-28.84=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=1, b=-19.2, and c=-28.84 into the quadratic formula and solve for z.
19.2±(-19.2)2-4⋅(1⋅-28.84)2⋅1
Simplify.
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Simplify the numerator.
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Raise -19.2 to the power of 2.
z=19.2±368.64-4⋅(1⋅-28.84)2⋅1
Multiply -28.84 by 1.
z=19.2±368.64-4⋅-28.842⋅1
Multiply -4 by -28.84.
z=19.2±368.64+115.362⋅1
Add 368.64 and 115.36.
z=19.2±4842⋅1
Rewrite 484 as 222.
z=19.2±2222⋅1
Pull terms out from under the radical, assuming positive real numbers.
z=19.2±222⋅1
z=19.2±222⋅1
Multiply 2 by 1.
z=19.2±222
Simplify 19.2±222.
z=9.6±11
z=9.6±11
The final answer is the combination of both solutions.
z=20.6,-1.4
Solve for z z^2-19.2z-28.84=0

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