Solving Quadratics Using Completing the Squares

• Subtract 21 from each side of the equation.

• Add 21 to each side of the equation.

• Divide -10 by 2, square it, and then add 25 to each side.

• Divide -10 by 2, square it, and then subtract 25 from each side.

Solve by completing the square.
r² -17r - 56 = 4

• (20, -3)

• (8, -1)

• (5.6, 1.4)

• (9.4, -2.4)

Solve by completing the square.
x² - 5 = -7x

• (-6, -13)

• No Solution

• (0.7, -7.7)

• (7, 4)

Solve by completing the square.
4b² - 16b - 86 = -2

• (20.2, -4.2)

• (7, -3)

• (10.1, -2.1)

• No Solution

Solve by completing the square.
6x² +12x -38 = 10

• (3, -5)

• (0.4, -2.4)

• (4.4, -2.4)

• (2, -4)

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

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Solve the following quadratics equation by completing the square... x^2 + 6x - 3 = 0

Solve the following quadratics equation by completing the square...

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

Solve by completing the square.
y² + 10y = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1