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4. What are the roots of the equation (x + 7)(x - 3) = -25?
A 2 and 2 B. 4 and 1 C.-2 and -2 D. -4 and -1​


Sagot :

Answer:

C. -2 and -2

Step-by-step explanation:

(x + 7)(x − 3) = −25

x(x − 3) + 7(x − 3) = −25

x² − 3x + 7(x − 3) = −25

x² - 3x + 7x - 21 = -25

x² + 4x - 21 = -25

x² + 4x - 21 + 25 = -25 + 25

x² + 4x - 21 + 25 = 0

x² + 4x + 4 = 0

Then rewrite your equation in factored form

(x + 2)² = 0

x + 2 = 0

x + 2 - 2 = 0 - 2

x = -2