How do you solve this equation

D f ​ : x  = 0 ∧ x  = − 3 D f ​ : x ∈ R ∖ { − 3 , 0 } x 17 ​ − x + 3 11 ​ = x + 3 5 x + 8 ​ ∣ ⋅ x ( x + 3 ) 17 ( x + 3 ) − 11 x = x ( 5 x + 8 ) 17 x + 51 − 11 x = 5 x 2 + 8 x 5 x 2 + 2 x − 51 = 0 5 x 2 − 15 x + 17 x − 51 = 0 5 x ( x − 3 ) + 17 ( x − 3 ) = 0 ( 5 x + 17 ) ( x − 3 ) = 0 x = − 5 17 ​ ∨ x = 3

Answered by konrad509 | 2024-06-10

To solve the equation x 17 ​ − x + 3 11 ​ = x + 3 5 x + 8 ​ , multiply by the common denominator to eliminate fractions, combine like terms, and apply the quadratic formula. The resulting solutions are x = 3 and x = − 5 17 ​ . Always check your solutions by plugging them back into the original equation to ensure their validity.
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Answered by konrad509 | 2024-12-26