Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. $x^{2}+7 x+\frac{49}{4}=4$

Solve each equation. State the number and type of roots. $x^{3}-6 x^{2}+7 x=0$

Estimate the coordinates of the vertex for each parabola by graphing the equation on a graphing calculator. Then use $x=-\frac{b}{2 a}$ to find the coordinates. $y=2 x^{2}-3 x+4$

Find the coordinates of the midpoint of the segment with the given endpoints. $P(10,-6), Q(-4,-7)$

Solve each equation. State the number and type of roots. $16 x^{4}-625=0$

Solve the following equation.

$\frac{2 t}{t+1}+\frac{4}{t-1}=2$

Find the distance between points with the given coordinates. $(3,5),(-6,0)$

Simplify. $(-5 i)(-8 i)$

Solve by completing the square. Check your solutions. $3 x^{2}-5 x-2=0$

What conclusion can you draw about the maximum range of the cannon?

Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. $x^{2}-3 x+\frac{9}{4}=6$

Solve each equation. Check your solution. $\sqrt{x^{2}+9 x+15}=x+5$

Use the equation $u t-16 t^{2}=0$, where v=velocity in feet per second and t=time in seconds. A rocket at a fireworks display was launched with the initial velocity of 208 ft/sec. How many seconds was it in the air before it splashed down in the lake?

Complete parts a-c for each quadratic equation. a. Find the value of the discriminant. b. Describe the number and type of roots. c. Find the exact solutions by using the Quadratic Formula. $6 x^{2}+5 x-1=0$