Five Methods for Solving Quadratic Equations

Find the values for n.

• -4, 2

• -2, 4

• -16

• -4

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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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Solve the quadratic equation by factoring
a² + 10a + 21 = 0

• ± √21

• -3 , -7

• 3 , 7

• 28 , -7

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What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

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Match the following.

• Solve using the Zero-Product Property

• Using square roots

• By graphing

• By factoring

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Match the following methods to solve quadratic equations with the scenario it is best used in

• when there is no "bx" term

• COMPLETING THE SQUARE

• when the equation is factorable

• SQUARE ROOTS

• can be used in all cases

• FACTORING

• when b is an even number if a=1

• QUADRATIC FORMULA

• to check solutions

• GRAPHING

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What are the two methods of solving quadratic equations?​ (a)   ​ (b)  

• Factoring

• Quadratic Formula

• Plugging in numbers

• Guess and check

• Asking Ms. Casale

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To solve a quadratic you can ​ (a)   if the ​ (b)   is equal to a ​ (c)   . Otherwise you can complete the square if the ​ (d)   value is one and the b value is ​ (e)   . Most other quadratics should be solved using the quadratic formula.

• factor

• discriminant

• perfect square

• a

• even

• positive number

• b

• c

• odd

• vertex

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What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

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Find the zeros of this quadratic. (Solutions)

Hint: Set each factor equal to zero, then solve.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

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