Solving quadratic equations

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

Tags

CCSS.HSA-REI.B.4B

Solve by your favorite method:

x² + 4x= 12

• x = 2 and -2

• x = -6 and 2

• x = 6 and -2

• x = 1 and -1

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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.B.4B

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation...

x² + 7x + 12 = 0

• x = -2

  x = -6

• x = -3

  x = -4

• x = -1

  x = -12

• x = 2

  x = 6

Tags

CCSS.HSA-REI.B.4B

• √3

• ±√3

• -3

• $\pm\sqrt{3}i$

• $i\pm\sqrt{3}$

• ± 1

• ± 4/3

• ± 3/4

• 0

• $\pm\sqrt{7}$

If the discriminant equals 0, then the quadratic has:

AKA: if you are solving a quadratic by forced factoring steps, and the number inside the square root becomes 0, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Imaginary (Complex) Solutions

• 1 Imaginary (Complex) Solution

If the discriminant (AKA, the number inside the square root when solving quadratics) is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• 2 Imaginary (or Complex) Solutions