Solving Quadratics by Completing the Square

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

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

(x + 1) ² + 3 = 15

Tags

CCSS.HSA-REI.B.4B

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B