Question

What are the solution(s) to the quadratic equation x2 – 25 = 0?

O x= 5 and x = -5
O x = 25 and x = -25 A
O x = 125 and x = -125
O no real solution
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Noy

Answer 1

x = 5 and x = - 5

Explanation:

Given

x² - 25 = 0 ← x² - 25 is a difference of squares and factors as

(x - 5)(x + 5) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 5 = 0 ⇒ x = - 5