Examples with solutions for Square of Difference: More than one factorization

Exercise #1

(x1)2=x2 (x-1)^2=x^2

Video Solution

Answer

x=12 x=\frac{1}{2}

Exercise #2

(x4)2=(x+2)(x1) (x-4)^2=(x+2)(x-1)

Video Solution

Answer

x=2 x=2

Exercise #3

(x+3)2=(x3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0

Exercise #4

x2+(x2)2=2(x+1)2 x^2+(x-2)^2=2(x+1)^2

Video Solution

Answer

x=14 x=\frac{1}{4}

Exercise #5

Solve the following equation:

(2x1)2x2+(x2)22x1=4.5x \frac{(2x-1)^2}{x-2}+\frac{(x-2)^2}{2x-1}=4.5x

Video Solution

Answer

1±3 -1\pm\sqrt{3}

Exercise #6

(x+3)2=(x3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0