Solving Quadratics

​Solving Quadratics

​Let’s solve quadratic equations.

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The expression x² + 8x + 16 is equivalent to (x + 4)².

Is there an expression equivalent to (x + n)² for some number n?

x² + 10x + 25

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The expression x² + 8x + 16 is equivalent to (x + 4)².

Is there an expression equivalent to (x + n)² for some number n?

x² + 10x + 29

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The expression x² + 8x + 16 is equivalent to (x + 4)².

Is there an expression equivalent to (x + n)²?

x² - 6x + 8

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The expression x² + 8x + 16 is equivalent to (x + 4)².

Is there an expressions equivalent to (x + n)² for?

x² - 6x + 9

One good way to recognize if a trinomial is perfect square is to look at its first and third term. If they are both squares, there's a good chance that you may be working with a perfect square trinomial.

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(x + 7)^2​

​How to factor perfect square trinomials

​Let's say we're working with the following: x²+14x+49

​How to factor by completing the square

​Factor by using the Quadratic Formula

(Use only when there is an quadratic equation which equals 0​)

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Solve each quadratic equation with the method of your choice. Compare with a partner who used a different method.

x² = 100

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Solve each quadratic equation with the method of your choice. Compare with a partner who used a different method.

x² = 38

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Solve each quadratic equation with the method of your choice. Compare with a partner who used a different method.

x² - 10x + 25 = 0

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Solve each quadratic equation with the method of your choice. Compare with a partner who used a different method.

x² +14x + 40 = 0

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Solve each quadratic equation with the method of your choice. Compare with a partner who used a different method.

x² + 14x + 39 = 0

I can solve quadratic equations by completing the square or by using the quadratic formula.

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​Learning targets