Examples with solutions for Difference of squares: Identify the greater value

Exercise #1

Solve each equation separately and find which x is the largest.

  1. (x+4)(x4)=0 (\sqrt{x}+4)(\sqrt{x}-4)=0

  2. x=4 \sqrt{x}=4

Video Solution

Answer

2=1

Exercise #2

Solve each equation separately and find which x is the largest.

  1. (x+8)(x8)=0 (\sqrt{x}+8)(\sqrt{x}-8)=0

  2. x2100=0 x^2-100=0

Video Solution

Answer

1

Exercise #3

Solve each equation separately and find which x is the largest.

  1. 3+x+1756x=18x+44 3+x+17-56x=18x+44

  2. (x2)(x+2)=0 (x-2)(x+2)=0

Video Solution

Answer

2

Exercise #4

The side length of a square is X cm

(x>3)

We extend one side by 3 cm and shorten an adjacent side by 3 cm, and we get a rectangle.

Which shape has a larger area?

Video Solution

Answer

The square