You said that x² - 2x - 15 = 0 .
You could factor the left side:
(x + 3) (x - 5) = 0
This equation is true if either of the factors is zero.
First factor: x + 3 = 0 x = -3
Second factor: x - 5 = 0 x = 5
x 2 − 2 x − 15 = 0 x 2 − 5 x + 3 x − 15 = 0 x ( x − 5 ) + 3 ( x − 5 ) = 0 ( x + 3 ) ( x − 5 ) = 0 x = − 3 ∨ x = 5
To solve the quadratic equation x 2 − 2 x − 15 = 0 using the quadratic formula, we identify the coefficients as a = 1 , b = − 2 , and c = − 15 . After applying the formula, we find the solutions to be x = 5 and x = − 3 .
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