What number would you add to both sides of x² + 7x = 4 to complete the square?

Mathematics

1 answer:

Lyrx [107]1 year ago

6 0

The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.

<h3>What is completing the squares method for solving the quadratic method?</h3>

Suppose the considered quadratic equation is of the form

ax^2 + bx + c = 0

Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.

The given quadratic equation is

x² + 7x = 4

add 7²/2 to both sides of x² + 7x = 4 to complete the square

7²/2 = 49/4

x² + 7x + 49/4 = 4+ 49/4

(x + 7/2)² = 4+ 49/4

Thus, option C 7²/2 is correct.

Learn more about completing the square;

brainly.com/question/10905485

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