Solving by Completing the Square

Solve by completing the square. Write the answer as #+-square root. 3x^2+36x-15=0

Mathematical Equivalence

ON

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Solve by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

x² + 10x = -9 Steps to solve by completing the square are:

• Take half of 10 and square it.

• Add 25 to both sides.

• Solve the perfect square trinomial

• Take the square root of both sides

• Solve for x to get a solution.

• Take half of -9 and add to both sides.

• Divide all terms by 10

• Set equal to zero.

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

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When completing the square x² - 4x + 4 = 20, what goes in the blank? (x - __ )² = 20

• 4

• 2

• 8

• 20

Jordan wants to complete the square of the equation  x² + 4x = 3.
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      (x + __)² = 7
Click the missing number to help Jordan finish completing the square.

• 2

• -4

• 7

• -2

Graduates throw their graduation caps upwards at the end of their graduation ceremony.
The height of a graduation cap in the air after it is thrown can be modeled by the function 
y = -16t² + 16t + 4
where t is time in seconds, and y is the height of the cap in feet.
Complete the square to find the maximum height of the cap in feet.

• 16

• -8

• 8

• 4

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