x 2 − 25 = 0 ⇔ ( x − 5 ) ( x + 5 ) = 0 ⇔ x = 5 or x = − 5
x 2 − 25 = 0 ∣ a dd 25 t o e a c h s i d e x 2 = 25 ∣ x = 25 x = 5 or x = − 5
The solutions to the quadratic equation x 2 − 25 = 0 are x = 5 and x = − 5 . This is found by recognizing it as a difference of squares and factoring the equation. Setting each factor to zero gives the two solutions.
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