Solving Quadratics with the Quadratic Formula

Solve using the Quadratic Formula:

2x² − 8x − 24 = 0

• x = 6, −2

• x = 2, −6

• x = 4, 2

• x = 2, 6

Solve using the Quadratic Formula:

2x² − x − 3 = 0

• x = −3/2, 1

• x = 3/2, −1

• x = −3/2, & −1

• x = 3/2, 1

Solve using the Quadratic Formula:

15x² + 22x = −8

• x = −2/3, 4/5

• x = 2/3, −4/5

• x = 2/3, 4/5

• x = −2/3, −4/5

The first step in solving quadratic equations is to . . .

• factor

• set the equation equal to 0

• use quadratic formula

• complete the square

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

Identify a, b and c in the quadratic equation. (REMEMBER the equation MUST equal zero!) 4x^2-8x=3

• a = 4, b = -8, c = 3

• a = 4, b = -8, c = -3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• all of the above

Solve using the quadratic formula.

x² +12x - 5 = 0

• X = 6 + √41 or 6 − √41

• X= 35 or 47

• X = −6 + √41 or −6 − √41

• X = √35 or √47

• A
• B
• C
• D

Solve using the quadratic formula...

9x² = 4 + 7x

• 
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• No solution