(x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.
What is a quadratic equation?
A quadratic equation is an algebraic equation of 2nd degree usually in the form of ax² + bx + c = 0.
Given,
x² + 6x = 16
⇒ x² + 2 × 3 × x = 16
⇒ x² + 2 × 3 × x +9 = 16 + 9
⇒ (x)² + 2 × 3 × x +9 = 25
⇒ (x + 3)² = 25
⇒ x² + 6x + 9 = 25
Hence, (x + 3)² = 25 and x² + 6x + 9 = 25 are equivalent to x² + 6x = 16.
Learn more about quadratic equation here: https://brainly.com/question/17718371
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