5 r 2 = 80 / : 5 r 2 = 5 80 r 2 = 16 r 2 − 16 = 0 r 2 − 4 2 = 0 ( r − 4 ) ( r + 4 ) = 0
r − 4 = 0 ∨ r + 4 = 0 r = 4 ∨ r = − 4 a 2 − b 2 = ( a − b ) ( a + b )
The solutions to the equation 5 r 2 = 80 are r = 4 and r = − 4 . This is determined by factoring the equation into a standard quadratic form and solving for r .
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