How do you solve the expression [tex]8c^2 - 88c + 242[/tex]?

( a − b ) 2 = a 2 − 2 ab + b 2
8 c 2 − 88 c + 242 = 0 / : 2 4 c 2 − 44 c + 121 = 0 ( 2 c ) 2 − 2 ⋅ 2 c ⋅ 11 + 1 1 2 = 0 ( 2 c − 11 ) 2 = 0 ⟺ 2 c − 11 = 0 → 2 c = 11 / : 2 → c = 5.5
8 c 2 − 88 c + 242 = 2 ( 4 c 2 − 44 c + 121 ) = 2 [ ( 2 c ) 2 − 2 ⋅ 2 c ⋅ 11 + 1 1 2 ] = 2 ( 2 c − 11 ) 2

Answered by Anonymous | 2024-06-10

To solve the expression 8 c 2 − 88 c + 242 , we simplified it to 4 c 2 − 44 c + 121 = 0 and factored it to ( 2 c − 11 ) 2 = 0 . This led us to find the solution c = 5.5 .
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Answered by Anonymous | 2024-12-23