Examples with solutions for Difference of squares: Finding the Domain of a Square Root Function

Exercise #1

(x3)(x+3)(x+3)(x3)=5 \sqrt{(x-3)(x+3)}\cdot\sqrt{(x+3)(x-3)}=5

Video Solution

Answer

2 2

Exercise #2

Resolve:

(7x)(x+7)=5x+423x47 (\sqrt{7}-\sqrt{x})(\sqrt{x}+\sqrt{7})=5x+42-3x-4\cdot7

Video Solution

Answer

1 1

Exercise #3

Resolve:

(x+3)(x3)+9x2=0 (\sqrt{x}+\sqrt{3})(\sqrt{x}-\sqrt{3})+\sqrt{9x^2}=0

Video Solution

Answer

32 \frac{3}{2}