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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Isosceles and Equilateral Triangles

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Exercise 52 Page 382

How do we make the square complete?

D

Practice makes perfect

Let's consider the expression x^2+bx as an example. We can try to complete the square by drawing it as a square with side lengths x and a rectangle with side lengths b and x.

Looking at the illustration, we can see that to complete the square we add ( b2)^2 where b is the coefficient of x. Let's determine the value of b in the given equation. x^2- 10x=3 Now we can find the value of ( b2)^2.

(b/2)^2

b= 10

(10/2)^2

Calculate quotient

(5)^2

Calculate power

25

The corresponding option is D.

Subchapter links

Exercises p.378-382