Solving Quadratic Equations by Completing the Square

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

• a=3, b=8, c=0

• a=3, b=-8, c=15

• a=3, b=8, c=15

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}

• {4 and -4}

• {5 and -3}

• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. Round.
x² -4x = 5

• 11 and -7

• 1 and 3

• 1.73 and -1.73

• 5 and -1

Tags

CCSS.HSA-REI.B.4B

• x = 2 and -2

• x = -6 and 2

• x = 6 and -2

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B