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Answered

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Select all equations that are equivalent to x2+6x=16.
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Select All Equations That Are Equivalent To X26x16 class=

Sagot :

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Answer:

The third one and the last one:

x²+6x+9=25

(x+3)²=25

Step-by-step explanation:

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(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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