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Algebra 1

Course: Algebra 1 > Unit 14

Lesson 8: More on completing the square

Solve by completing the square: Integer solutions
Solve by completing the square: Non-integer solutions
Solve equations by completing the square
Worked example: completing the square (leading coefficient ≠ 1)
Completing the square
Solving quadratics by completing the square: no solution
Proof of the quadratic formula
Solving quadratics by completing the square
Completing the square review
Quadratic formula proof review

Solve equations by completing the square

CCSS.Math: HSA.REI.B.4b

Google Classroom

Consider the equation:

24, equals, x, squared, minus, 4, x, plus, 3

1) Rewrite the equation by completing the square.
Your equation should look like left parenthesis, x, plus, c, right parenthesis, squared, equals, d or left parenthesis, x, minus, c, right parenthesis, squared, equals, d.

2) What are the solutions to the equation?

(Choice A)
x, equals, 2, plus minus, 5
(Choice B)
x, equals, minus, 2, plus minus, 5
(Choice C)
x, equals, 2, plus minus, square root of, 5, end square root
(Choice D)
x, equals, minus, 2, plus minus, square root of, 5, end square root

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Algebra 1

Course: Algebra 1 > Unit 14

Problem