Review - Quadratic Formula and Completing the Square

Review - Quadratic Formula and Completing the Square

​Quadratic Formula

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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

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

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Solve by completing the square.

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