21(21)+8(8)=c^2

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Solution for 21(21)+8(8)=c^2 equation:


Simplifying
21(21) + 8(8) = c2

Multiply 21 * 21
441 + 8(8) = c2

Multiply 8 * 8
441 + 64 = c2

Combine like terms: 441 + 64 = 505
505 = c2

Solving
505 = 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.
505 + -1c2 = c2 + -1c2

Combine like terms: c2 + -1c2 = 0
505 + -1c2 = 0

Add '-505' to each side of the equation.
505 + -505 + -1c2 = 0 + -505

Combine like terms: 505 + -505 = 0
0 + -1c2 = 0 + -505
-1c2 = 0 + -505

Combine like terms: 0 + -505 = -505
-1c2 = -505

Divide each side by '-1'.
c2 = 505

Simplifying
c2 = 505

Take the square root of each side:
c = {-22.472205054, 22.472205054}

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