Solving Quadratics by using the Quadratic Formula

What is the standard form for a Quadratic?

• ax²+ bx = - c
• x = -b ± √(b²-4ac) / 2a
• ax² + bx + c
• y = mx + b

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve Using the Quadratic Formula 
2x² + 7x - 15 = 0

• -1.5 or 5
• No Solution
• -5 or 1.5
• 0.7 or 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA.REI.B.4

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Tags

CCSS.HSA-REI.B.4B

Solve by the Quadratic Formula:

 $-12q^2+3q+7=0$  

•  $\frac{-3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm\sqrt{345}}{-24}$  

•  $\frac{3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm i\sqrt{39}}{24}$  

Tags

CCSS.HSA-REI.B.4B

Solve by the Quadratic Formula:

 $18j^{2\ }+9j\ +16=12+7j^2$  

•  $\frac{-9\pm i\sqrt{95}}{22}$  

•  $\frac{-9\pm\sqrt{95}}{22}$  

•  $\frac{9\pm i\sqrt{95}}{22}$  

•  $\frac{9\pm\sqrt{95}}{22}$  

Tags

CCSS.HSA.REI.B.4

If b²-4ac is positive, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA.REI.B.4

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA.REI.B.4