Quadratic Formula

 $2m^2+3m-9=0$  

•  $\left\{1,-4\right\}$  

•  $\left\{2,-5\right\}$  

•  $\left\{\frac{3}{2},-3\right\}$  

•  $\left\{0.679,-3.679\right\}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $2x^2+3x-20=0$  

•  $\left\{-1,-2\right\}$  

•  $\left\{2,1\right\}$  

•  $\left\{\frac{5}{2},-4\right\}$  

•  $\left\{2.823,\ 0.177\right\}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

 $5n^2=30+5n$  

•  $\left\{\frac{3+\sqrt{139}}{10},\frac{3-\sqrt{139}}{10}\right\}$  

•  $\left\{3,-2\right\}$  

•  $\left\{\frac{3+11i}{10},\frac{3-11i}{10}\right\}$  

•  $\left\{\frac{3}{2},-\frac{1}{2}\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $m^2=-10m+15$  

•  $\left\{-5+\sqrt{10},-5-\sqrt{10}\right\}$  

•  $\left\{5+2\sqrt{10},\ 5-2\sqrt{10}\right\}$  

•  $\left\{-5+2\sqrt{10},-5-2\sqrt{10}\right\}$  

•  $\left\{\frac{-10+\sqrt{115}}{2},\frac{-10-\sqrt{115}}{2}\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $4b^2=4$  

•  $\left\{i,\ -i\right\}$  

•  $\left\{4+2\sqrt{6},\ 4-2\sqrt{6}\right\}$  

•  $\left\{1,\ -1\right\}$  

•  $\left\{\frac{4+2\sqrt{22}}{9},\frac{4-2\sqrt{22}}{9}\right\}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

 $7k^2-k=11$  

•  $\left\{\frac{1+\sqrt{78}}{14},\frac{1-\sqrt{78}}{14}\right\}$  

•  $\left\{\frac{1+\sqrt{309}}{14},\frac{1-\sqrt{309}}{14}\right\}$  

•  $\left\{\frac{-1+3\sqrt{5}}{2},\frac{-1-3\sqrt{5}}{2}\right\}$  

•  $\left\{\frac{-1+i\sqrt{307}}{14},\frac{-1-i\sqrt{307}}{14}\right\}$  

Tags

CCSS.HSA.REI.B.4

 $2v^2=84-2v$  

•  $\left\{6,-7\right\}$  

•  $\left\{\frac{3+i\sqrt{31}}{4},\frac{3-i\sqrt{31}}{4}\right\}$  

•  $\left\{\frac{-3+i\sqrt{11}}{2},\frac{-3-i\sqrt{11}}{2}\right\}$  

•  $\left\{1,-\frac{5}{2}\right\}$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

 $-8a^2-6a-4=1$  

•  $\left\{\frac{3-i\sqrt{31}}{8},\frac{3+i\sqrt{31}}{8}\right\}$  

•  $\left\{\frac{-1+\sqrt{6}}{3},\frac{-1-\sqrt{6}}{3}\right\}$  

•  $\left\{-3+\sqrt{14},-3-\sqrt{14}\right\}$  

•  $\left\{\frac{-3-i\sqrt{31}}{8},\frac{-3+i\sqrt{31}}{8}\right\}$  

Tags

CCSS.HSA.REI.B.4

 $14n^2-15=5n^2+2$  

•  $\left\{\frac{\sqrt{17}}{3},\frac{-\sqrt{17}}{3}\right\}$  

•  $\left\{\frac{\sqrt{17}}{6},\frac{-\sqrt{17}}{6}\right\}$  

•  $\left\{\frac{5+i\sqrt{7}}{2},\frac{5-i\sqrt{7}}{2}\right\}$  

•  $\left\{\frac{-5+i\sqrt{199}}{14},\frac{-5-i\sqrt{199}}{14}\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

 $-4k^2-10=\ -5$  

•  $\left\{-\frac{i\sqrt{5}}{2},\frac{i\sqrt{5}}{2}\right\}$  

•  $\left\{\sqrt{5},-\sqrt{5}\right\}$  

•  $\left\{-\frac{i\sqrt{5}}{4},\frac{i\sqrt{5}}{4}\right\}$  

•  $\left\{\frac{5-i\sqrt{15}}{20},\frac{5+i\sqrt{15}}{20}\right\}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2