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solve the equation e 2 n 7 e n 8 0

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solve the equation e2n+7en-8=0

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Answer to a math question solve the equation e2n+7en-8=0

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Pour résoudre l'équation

e \cdot 2n + 7en - 8 = 0

, on commence par factoriser par regroupement :

e \cdot 2n + 7en - 8 = 0

2en + 8en - e - 8 = 0

2en(1+4) - 1(1+8) = 0

2en \cdot 5 - 1 \cdot 9 = 0

Ensuite, on factorise l'expression obtenue :

10en - 9 = 0

10en = 9

e = \frac{9}{10n}

Donc, la solution de l'équation est

e = \frac{9}{10n}

.

\boxed{e = \frac{9}{10n}}

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