91Ó°ÊÓ

Solve by using the quadratic formula. Approximate the solutions to the nearest thousandth. $$4 z^{2}+8 z-1=0$$

Solve by taking square roots. $$4 x^{2}-49=0$$

A basketball player shoots at a basket 25 ft away. The height of the ball above the ground at time \(t\) is given by \(h=-16 t^{2}+32 t+6.5 .\) How many seconds after the ball is released does it hit the basket? Hint: When the ball hits the basket, \(h=10 \mathrm{ft} .\) Round to the nearest hundredth.

Factoring, completing the square, and using the quadratic formula are three methods of solving quadratic equations. Describe each method, and cite the advantages and disadvantages of each.

Baseball A ball player hits a ball. The height of the ball above the ground after \(t\) seconds can be approximated by the equation \(h=-16 t^{2}+76 t+5 .\) When will the ball hit the ground? Hint: The ball strikes the ground when \(h=0 \mathrm{ft}\).