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

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

Calculate the midpoint of the segment with the given endpoints. $I(6,-1), J(-2,5)$

Use the equation $u t-16 t^{2}=0$, where v=velocity in feet per second and t=time in seconds. A projectile is launched with the initial velocity of 896 ft/sec. How many seconds will it remain in the air?

Solve each equation. Check your solution. $6 \sqrt{\frac{5 k}{4}}-3=0$

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. $y=-3 x^{2}+4 x-5$

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. $6 x^{2}-x-5=0$

Simplify. $i^{11}$

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. $y=2 x^{2}-3 x+4$

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

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 the following equation.

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

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. $6 x^{2}+5 x-1=0$

Simplify. $4 i(-6 i)^{2}$