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Simplifying
38 * 38 + 24 * 24 = c * c
Multiply 38 * 38
1444 + 24 * 24 = c * c
Multiply 24 * 24
1444 + 576 = c * c
Combine like terms: 1444 + 576 = 2020
2020 = c * c
Multiply c * c
2020 = c2
Solving
2020 = 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.
2020 + -1c2 = c2 + -1c2
Combine like terms: c2 + -1c2 = 0
2020 + -1c2 = 0
Add '-2020' to each side of the equation.
2020 + -2020 + -1c2 = 0 + -2020
Combine like terms: 2020 + -2020 = 0
0 + -1c2 = 0 + -2020
-1c2 = 0 + -2020
Combine like terms: 0 + -2020 = -2020
-1c2 = -2020
Divide each side by '-1'.
c2 = 2020
Simplifying
c2 = 2020
Take the square root of each side:
c = {-44.944410108, 44.944410108}
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