Solving Quadratic Equations by Extracting Square Roots

the quadratic equation written in the form x² = c, if

c < 0, then how many real solutions does it have?

• 3

• 2

• 1

• no real roots

Tags

CCSS.HSA.REI.B.4

What appropriate method of solving can we used in the equations that are written in the form x² = c?

• factoring

• quadratic formula

• extracting square roots

• completing the square

Tags

CCSS.HSA.REI.B.4

Which of the following is the solution/s of the equation

 $x^2-81=0$  ?

•  $\pm81$  

•  $\pm9$  
  

•  $\pm7$  
  

•  $\pm6$  
  

Tags

CCSS.HSA.REI.B.4

Find the roots/solutions of the equation  $y^2+49=0$  .

•  $\pm5$  

•  $\pm6$  
  

•  $\pm7$  
  

•  $no\ real\ solution$  
  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What are the roots of the equation  $2x^2-32=0$  ?

•  $x=\pm4$  

•  $x=\pm16$  

•  $x=\pm32$  

•  $no\ real\ solution$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What are the roots of the equation  $16x^2=25$  ?

•  $x=\pm\frac{25}{16}$  
  

•  $x=\pm\frac{4}{5}$  
  

•  $x=\pm\frac{5}{4}$  
  

•  $no\ real\ solution$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Which of the following is the solution of the equation  $\left(x+1\right)^2-36=0$  ?

•  $x_1=7,\ x_{2\ }=-5$  
  

•  $x_1=-7,\ x_{2\ }=-5$  
  

•  $x_1=7,\ x_{2\ }=5$  
  

•  $x_1=-7,\ x_{2\ }=5$  
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Which of the following is the solution of the equation  $3x^2=54$  ?

•  $x=\pm2\sqrt{3}$  
  

•  $x=\pm3\sqrt{2}$  
  

•  $x=\pm2$  
  

•  $x=\pm3$  
  

Tags

CCSS.HSA.REI.B.4

Solve for x:  $\left(x+2\right)^2-81=0$  

•  $x_1=-11,\ x_2=7$  
  

•  $x_1=11,\ x_2=7$  
  

•  $x_1=-11,\ x_2=-7$  
  

•  $x_1=11,\ x_2=-7$  
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve for x:  $2\left(x+1\right)^2-50=0$  

•  $x_1=6,\ x_2=4$  
  

•  $x_1=-6,\ x_2=4$  
  

•  $x_1=-6,\ x_2=-4$  
  

•  $x_1=6,\ x_2=-4$  
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4