Square of sum: More than one factorization

Equations with Variables on One SideUsing short multiplication formulasUsing variablesEquations with denominatorsComplete the missing numbersIdentify the greater valueUsing fractionsUsing quadrilateralsData with powers and rootsSystem of equations with no solutionUsing multiple rulesEquations with variables on both sidesNumber of termsSolving the problemTransition between expressionsResulting in a quadratic equation
Question 1

\( \)\( (x+2)^2-12=x^2 \)

Question 2

\( \)\( (x+1)^2=x^2 \)

Question 3

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

Question 4

\( \)\( (x+1)(x-1)(x+1)=x^2+x^3 \)

Question 5

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

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

Exercise #1

(x+2)2−12=x2 (x+2)^2-12=x^2

Video Solution

Answer

x=2 x=2

Exercise #2

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

Video Solution

Answer

x=−12 x=-\frac{1}{2}

Exercise #3

(x+3)2=(x−3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0

Exercise #4

(x+1)(x−1)(x+1)=x2+x3 (x+1)(x-1)(x+1)=x^2+x^3

Video Solution

Answer

x=−1 x=-1

Exercise #5

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

Video Solution

Answer

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

Question 1

Find X

\( 7x+1+(2x+3)^2=(4x+2)^2 \)

Question 2

Solve the following equation:

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

Question 3

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

Exercise #6

Find X

7x+1+(2x+3)2=(4x+2)2 7x+1+(2x+3)^2=(4x+2)^2

Video Solution

Answer

1±338 \frac{1\pm\sqrt{33}}{8}

Exercise #7

Solve the following equation:

(−x+1)2=(2x+1)2 (-x+1)^2=(2x+1)^2

Video Solution

Answer

x1=0,x2=−2 x_1=0,x_2=-2

Exercise #8

(x+3)2=(x−3)2 (x+3)^2=(x-3)^2

Video Solution

Answer

x=0 x=0