4.7C Quadratic Formula

Solve each equation using the quadratic formula:

 $2x^2+11x=40$  

•  $x=-\frac{5}{2},x=8$  

•  $x=-\frac{23}{4},x=-\frac{65}{4}$  

•  $x=\frac{23}{4},x=\frac{65}{4}$  

•  $x=\frac{5}{2},x=-8$  

Solve each equation using the quadratic formula:

 $-2x^2+x=-7$  

•  $x=\frac{1\pm\sqrt{57}}{4}$  

•  $x=\frac{-1\pm\sqrt{57}}{4}$  

•  $x=\frac{1\pm i\sqrt{55}}{4}$  

•  $x=\frac{-1\pm i\sqrt{55}}{4}$  

Solve each equation using the quadratic formula:

 $-10x^2+12x=9$  

•  $x=3,\ x=-6$  

•  $x=-\frac{3}{5},\ x=6$  

•  $x=\frac{-3\pm3i\sqrt{6}}{5}$  

•  $x=\frac{6\pm3i\sqrt{6}}{10}$  

Solve each equation using the quadratic formula:

 $5x^2-10x=2$  

•  $x=1\pm2\sqrt{35}$  

•  $x=1\pm\sqrt{35}$  

•  $x=1\pm\sqrt{7}$  

•  $x=\frac{5\pm\sqrt{35}}{5}$  

Solve each equation using the quadratic formula:

 $5x^2+5x+1=2x+3$  

•  $x=\frac{2}{5},x=-1$  

•  $x=\frac{-7\pm i\sqrt{31}}{10}$  

•  $x=-\frac{2}{5},x=1$  

•  $x=\frac{7\pm i\sqrt{31}}{10}$  

Solve each equation using the quadratic formula:

 $8x^2-4x+5=0$  

•  $x=\pm i$  

•  $x=4\pm\frac{3i}{4}$  

•  $x=\frac{1\pm3i}{4}$  

•  $x=\frac{1}{4}\pm12i$  

Solve each equation using the quadratic formula:

 $5x^2+8x+3=6x^2-4x$  

•  $x=6\pm\sqrt{39}$  

•  $x=\frac{-4\pm5i}{22}$  

•  $x=-\frac{2}{11},\ x=5$  

•  $x=-6\pm2\sqrt{39}$  

Solve each equation using the quadratic formula:

 $3x^2-30x+50=2$  

•  $x=2,\ x=8$  

•  $x=-2,\ x=8$  

•  $x=-2,\ x=-8$  

•  $x=2,\ x=-8$  

Solve each equation using the quadratic formula:

 $19x^2+2=5x^2+9$  

•  $x=1\pm\frac{\sqrt{2}}{2}$  

•  $x=\pm\frac{\sqrt{2}}{2}$  

•  $x=2\pm\sqrt{2}$  

•  $x=\pm\sqrt{2}$  

Solve each equation using the quadratic formula:

 $-3x^2-9x+8=-4$  

•  $x=\frac{13}{2},\ x=\frac{23}{2}$  

•  $x=-\frac{9\pm\sqrt{129}}{6}$  

•  $x=\frac{-3\pm\sqrt{7}}{2}$  

•  $x=1,\ x=-4$