5+f*f+f*f=9

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Solution for 5+f*f+f*f=9 equation: 


Simplifying
5 + f * f + f * f = 9

Multiply f * f
5 + f2 + f * f = 9

Multiply f * f
5 + f2 + f2 = 9

Combine like terms: f2 + f2 = 2f2
5 + 2f2 = 9

Solving
5 + 2f2 = 9

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 2f2 = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2f2 = 9 + -5
2f2 = 9 + -5

Combine like terms: 9 + -5 = 4
2f2 = 4

Divide each side by '2'.
f2 = 2

Simplifying
f2 = 2

Take the square root of each side:
f = {-1.414213562, 1.414213562}

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