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If $(2x+5)(x-3)=14$, find the sum of the possible values of $x$.

1 Answer

7 votes

Answer:

x = 1/4 ± 1/4√233

Explanation:

(2x + 5)(x - 3) = 14

~Use FOIL on the left side

2x² - 6x + 5x - 15 = 14

~Combine like terms

2x² - x - 15 = 14

~Subtract 14 to both sides

2x² - x - 29 = 0

~Use the quadratic formula and simplify

x = 1/4 ± 1/4√233

Best of Luck!

User Aviel Fedida
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