Review - Quadratic Formula and Completing the Square

Review - Quadratic Formula and Completing the Square

​Quadratic Formula

​Add this formula to your note page.

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Solve using the quadratic formula.

$$2x^2-9x-35=0$$  

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Solve using the quadratic formula.

$$x^2=-1+12x$$  

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Solve using the quadratic formula.

$$2x^2\ -\ 4x\ =-3$$  

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Solve using the quadratic formula.

$$2x^2+2x=12$$  

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Solve using the quadratic formula.

$$3x^2-10x+1=0$$  

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Solve

$$2x^2+4x\ +10=0$$   Simplify answers

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$$2x^2=8x+3$$

 

$$1.\ \ 2x^2-8x-3=0$$  

$$2.\ \ x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}$$  

$$3.\ \ x=\frac{8\pm\sqrt{40}}{4}$$

$$4.\ \ x=\frac{8\pm2\sqrt{10}}{4}$$  

$$5.\ \ x=\frac{4\pm\sqrt{10}}{2}$$  

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

(There are 5 steps in her process)

​Completing the Square

​Add these formulas to your note page

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Solve by completing the square. $$x^2-6x-27=0$$  

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Solve by completing the square.

$$x^2-6x-80=9$$