Quadratic Equations

Which is the standard form for a quadratic equation?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which is the quadratic formula?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $ax^2+bx+c=0$

• $y=a\left(x-h\right)^2+k$

• $a^2+b^2=c^2$

Solve using any method:

x²-5x+6=0

• {1, -6}

• {3, 2}

• {-3, 2}

• {-1, 6}

Solve using any method:

2x² + 16x = 18

• {-1, 9}

• {-9, 1}

• (2, 18)

• {2, 16}

Solve using any method:

2x² - 9x - 35 = 0

• $\left\{\frac{7}{2},\ -6\right\}$

• $\left\{-\frac{5}{2},\ 5\right\}$
  

• $\left\{\frac{-3}{7},\ 6\right\}$
  

• $\left\{-\frac{5}{2},\ 7\right\}$
  

Solve using any method:

 $x^2\ -\ 7x\ =\ 0$  

• {7}
  

• {1, 7}
  

• {0, 7}
  

• no real solution
  

Solve using any method:
 $3x^2-10x+1=0$  

•  $x=\frac{-10\pm\sqrt{88}}{6}$  

•  $x=\frac{-5\pm2\sqrt{22}}{3}$  

•  $x=\frac{10\pm\sqrt{112}}{6}$  

•  $x=\frac{5\pm\sqrt{22}}{3}$  
  

Solve using any method:
 $x^2\ -3x\ +2$  

•  $\frac{3\ \pm\ \sqrt{7}}{2}$  
  

•  $\frac{3\ \pm\ \sqrt{17}}{4}$  
  

•  $-1,\ -2$  
  

•  $2,\ 1$  
  

Solve using any method:
 $2x^2\ +\ 3x\ -\ 1\ =\ 0$  

•  $\frac{-3\ \pm\ \sqrt{13}}{2}$  
  

•  $\frac{3\ \pm\ \sqrt{17}}{4}$  
  

•  $\frac{-3\ \pm\ \sqrt{17}}{4}$  
  

•  $-\frac{1}{2},\ -1$  
  

Solve using any method:

 $2x^2\ -\ 3x\ -\ 3\ =\ 0$  

•  $\frac{3\ \pm\ \sqrt{33}}{4}$  
  

•  $\frac{-1\ \pm\ \sqrt{13}}{2}$  
  

•  $2,\ 1$  
  

•  $\frac{3\ \pm\ \sqrt{17}}{2}$