9(9)+40(40)=c^2

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Solution for 9(9)+40(40)=c^2 equation: 


Simplifying
9(9) + 40(40) = c2

Multiply 9 * 9
81 + 40(40) = c2

Multiply 40 * 40
81 + 1600 = c2

Combine like terms: 81 + 1600 = 1681
1681 = c2

Solving
1681 = c2

Solving for variable 'c'.

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

Add '-1c2' to each side of the equation.
1681 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
1681 + -1c2 = 0

Add '-1681' to each side of the equation.
1681 + -1681 + -1c2 = 0 + -1681

Combine like terms: 1681 + -1681 = 0
0 + -1c2 = 0 + -1681
-1c2 = 0 + -1681

Combine like terms: 0 + -1681 = -1681
-1c2 = -1681

Divide each side by '-1'.
c2 = 1681

Simplifying
c2 = 1681

Take the square root of each side:
c = {-41, 41}

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