Square of sum: Complete the missing numbers

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

Fill in the blanks:

\( x^2+\text{?}+9=(x+3)^2 \)

Question 2

Fill in the blanks:

\( (x+?)^2=x^2+?+25 \)

Question 3

Fill in the blanks:

\( (?\times x+?)^2=16x^2+32x+16 \)

Question 4

Complete what is missing:

\( (2x+?\rparen^2=4x^2+16x+? \)

Question 5

Solve for X:

\( x+\sqrt{x}=-\sqrt{x} \)

Examples with solutions for Square of sum: Complete the missing numbers

Exercise #1

Fill in the blanks:

x2+?+9=(x+3)2 x^2+\text{?}+9=(x+3)^2

Video Solution

Answer

6x 6x

Exercise #2

Fill in the blanks:

(x+?)2=x2+?+25 (x+?)^2=x^2+?+25

Video Solution

Answer

5,10x 5,10x

Exercise #3

Fill in the blanks:

(?×x+?)2=16x2+32x+16 (?\times x+?)^2=16x^2+32x+16

Video Solution

Answer

4, 4 4,\text{ }4

Exercise #4

Complete what is missing:

(2x+?)2=4x2+16x+? (2x+?\rparen^2=4x^2+16x+?

Video Solution

Answer

4, 16

Exercise #5

Solve for X:

x+x=−x x+\sqrt{x}=-\sqrt{x}

Video Solution

Answer

0 0

Question 1

Fill in the blanks:

\( (x^2+y)^2+(y^2+x)^2=?(x^2+1)+2xy\lbrack?\rbrack+y^2\lbrack?\rbrack \)

Exercise #6

Fill in the blanks:

(x2+y)2+(y2+x)2=?(x2+1)+2xy[?]+y2[?] (x^2+y)^2+(y^2+x)^2=?(x^2+1)+2xy\lbrack?\rbrack+y^2\lbrack?\rbrack

Video Solution

Answer

x2,(x+y),y2+1 x^2,(x+y),y^2+1