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What number needs to be added to both sides of the equation to complete the square? x^2−7x=5

User Sorcerer
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2 Answers

1 vote

Answer:

add 5

Explanation:

User JohnXF
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5 votes

The solution to the problem, x² − 7x = 5 obtained by completing the square would be 7²

How to solve the problem

Completing the square works by manipulating the equation to transform it into a perfect square trinomial, which can be easily factored and solved.

We begin by moving the constant term to the right side of the equation as shown

x² − 7x = 5

The coefficient of the x term is -7

Square it = 7²

Add 7² to both sides of the equation

x² − 7x + 7² = 5 + 7²

(x - 7/2)² = 54

x - 7/2 = ± √54

x = 7/2 ± √54

User Mortymacs
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