Solving Quadratic Equations

$a^2+2a-4$

$2x+2x-6$

$y^3-2y^2+1=0$

$2b^2-4b+5$

 $\pm9\sqrt{30}$  

 $\pm\sqrt{39}$  

 $\pm39$  

 $\sqrt{\frac{4}{5}}$  

 $\pm\frac{4}{5}$  

 $\pm\sqrt{\frac{4}{5}}$  

 $\pm2\sqrt{\frac{10}{3}}$  

 $\pm\sqrt{\frac{40}{3}}$  

 $2\sqrt{\frac{40}{3}}$  

 $\pm2$  

 $\pm4$  

 $\pm6$  

 $\pm8$  

x = 4 or x = 1

x = -4 or x = 1

x = -4 or x = -1

x = 4 or x = -1

 $x=5$  

 $x\ =\ \frac{5}{2}$  

 $x\ =\ \frac{2}{5}$  

 $x\ =\ -\frac{5}{2}$  

 $\left(p+4\right)\left(p-1\right)$  

 $\left(p-4\right)\left(p+1\right)$  

 $\left(p+2\right)\left(p-2\right)$  

 $x=2;\ x=5$  

 $x\ =-2;\ x=-5$  

 $x=-2;\ x=5$  

 $x=2;\ x=-5$  

 $x\ =\ 1$  

 $x=1;\ x\ =-1$  

 $x=-1$  

-7 and -18

9 and 2

9 and -2

2 and 7

 $x=1,\ x\ =-3$  

 $x\ =\ 0,\ x\ =-2$  

 $x=1,\ x=2$  

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Equate the factors to 0

-10 & -4

-4 & 10

-8 & 4

8 & -4

Set the equation equal to zero

Divide 10 by 2 and add the result to both sides

Add a² and 10a together

Subtract 21 on both sides

x² + 10x - 100

x² + 10x + 100

x² + 10x - 25

x² + 10x + 25

x² + 12x + 144

x² + 12x + 36

x² + 12x - 36

x² + +12x - 144

 $x=-4;\ x=-8$  

 $x=4;\ x=-8$  

 $x=4;\ x=8$  

x = -2 ± √3

x = -3 ± √2

x = 2 ± √3

x = 2 ± √2

-10 & -4

-4 & 10

-8 & 4

8 & -4