10.3 Solve quadratic equations using the quadratic formula  (Page 4/5)

$4m^2+m-3=0$

$4n^2-9n+5=0$

$2p^2-7p+3=0$

$3q^2+8q-3=0$

$p^2+7p+12=0$

$q^2+3q-18=0$

$r^2-8r-33=0$

$t^2+13t+40=0$

$3u^2+7u-2=0$

$6z^2-9z+1=0$

$2a^2-6a+3=0$

$5b^2+2b-4=0$

$2x^2+3x+9=0$

$6y^2-5y+2=0$

$v\left(v+5\right)-10=0$

$3w\left(w-2\right)-8=0$

$\frac{1}{3}{m}^2+\frac{1}{12}m=\frac{1}{4}$

$\frac{1}{3}{n}^2+n=-\frac{1}{2}$

$16c^2+24c+9=0$

$25d^2-60d+36=0$

$5m^2+2m-7=0$

$8n^2-3n+3=0$

$p^2-6p-27=0$

$25q^2+30q+9=0$

$4r^2+3r-5=0$

$3t\left(t-2\right)=2$

$2a^2+12a+5=0$

$4d^2-7d+2=0$

$\frac{3}{4}{b}^2+\frac{1}{2}b=\frac{3}{8}$

$\frac{1}{9}{c}^2+\frac{2}{3}c=3$

$2x^2+12x-3=0$

$16y^2+8y+1=0$

ⓐ $4x^2-5x+16=0$
ⓑ $36y^2+36y+9=0$
ⓒ $6m^2+3m-5=0$
ⓓ $18n^2-7n+3=0$

ⓐ $9v^2-15v+25=0$
ⓑ $100w^2+60w+9=0$
ⓒ $5c^2+7c-10=0$
ⓓ $15d^2-4d+8=0$

ⓐ $r^2+12r+36=0$
ⓑ $8t^2-11t+5=0$
ⓒ $4u^2-12u+9=0$
ⓓ $3v^2-5v-1=0$

ⓐ $25p^2+10p+1=0$
ⓑ $7q^2-3q-6=0$
ⓒ $7y^2+2y+8=0$
ⓓ $25z^2-60z+36=0$

ⓐ $x^2-5x-24=0$
ⓑ ${\left(y+5\right)}^2=12$
ⓒ $14m^2+3m=11$

ⓐ ${\left(8v+3\right)}^2=81$
ⓑ $w^2-9w-22=0$
ⓒ $4n^2-10=6$

ⓐ $6a^2+14=20$
ⓑ ${\left(x-\frac{1}{4}\right)}^2=\frac{5}{16}$
ⓒ $y^2-2y=8$

ⓐ $8b^2+15b=4$
ⓑ $\frac{5}{9}{v}^2-\frac{2}{3}v=1$
ⓒ ${\left(w+\frac{4}{3}\right)}^2=\frac{2}{9}$

A flare is fired straight up from a ship at sea. Solve the equation $16\left(t^2-13t+40\right)=0$ for $t$ , the number of seconds it will take for the flare to be at an altitude of 640 feet.

An architect is designing a hotel lobby. She wants to have a triangular window looking out to an atrium, with the width of the window 6 feet more than the height. Due to energy restrictions, the area of the window must be 140 square feet. Solve the equation $\frac{1}{2}{h}^2+3h=140$ for $h$ , the height of the window.

Solve the equation $x^2+10x=200$
ⓐ by completing the square
ⓑ using the Quadratic Formula
ⓒ Which method do you prefer? Why?

Solve the equation $12y^2+23y=24$
ⓐ by completing the square
ⓑ using the Quadratic Formula
ⓒ Which method do you prefer? Why?