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Brian is solving the equation x^2 - 3/4x = 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?

User Maccurt
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1 Answer

2 votes

Answer:

The value that must be added to both sides of the equation is 9/64

Explanation:

we have


x^(2) -(3)/(4)x=5

Divide the term -3/4 by 2


((-3/4))/(2)=-(3)/(8)

squared the term (-3/8)


(-(3)/(8))^(2)=(9)/(64)

Adds the term 9/64 both sides of the equation


x^(2) -(3)/(4)x+(9)/(64)=5+(9)/(64)

Rewrite as perfect square


(x-(3)/(8))^(2)=(329)/(64)

therefore

The value that must be added to both sides of the equation is 9/64

User Yingjie
by
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