5=1.78x^2+x^2

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Solution for 5=1.78x^2+x^2 equation: 


Simplifying
5 = 1.78x2 + x2

Combine like terms: 1.78x2 + x2 = 2.78x2
5 = 2.78x2

Solving
5 = 2.78x2

Solving for variable 'x'.

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

Add '-2.78x2' to each side of the equation.
5 + -2.78x2 = 2.78x2 + -2.78x2

Combine like terms: 2.78x2 + -2.78x2 = 0.00
5 + -2.78x2 = 0.00

Add '-5' to each side of the equation.
5 + -5 + -2.78x2 = 0.00 + -5

Combine like terms: 5 + -5 = 0
0 + -2.78x2 = 0.00 + -5
-2.78x2 = 0.00 + -5

Combine like terms: 0.00 + -5 = -5
-2.78x2 = -5

Divide each side by '-2.78'.
x2 = 1.798561151

Simplifying
x2 = 1.798561151

Take the square root of each side:
x = {-1.341104452, 1.341104452}

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