8*8=(7*7)+k^2

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Solution for 8*8=(7*7)+k^2 equation:


Simplifying
8 * 8 = (7 * 7) + k2

Multiply 8 * 8
64 = (7 * 7) + k2

Multiply 7 * 7
64 = (49) + k2
64 = 49 + k2

Solving
64 = 49 + k2

Solving for variable 'k'.

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

Add '-1k2' to each side of the equation.
64 + -1k2 = 49 + k2 + -1k2

Combine like terms: k2 + -1k2 = 0
64 + -1k2 = 49 + 0
64 + -1k2 = 49

Add '-64' to each side of the equation.
64 + -64 + -1k2 = 49 + -64

Combine like terms: 64 + -64 = 0
0 + -1k2 = 49 + -64
-1k2 = 49 + -64

Combine like terms: 49 + -64 = -15
-1k2 = -15

Divide each side by '-1'.
k2 = 15

Simplifying
k2 = 15

Take the square root of each side:
k = {-3.872983346, 3.872983346}

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