91Ó°ÊÓ

Find the conjugate for each radical expression. $$6-2 \sqrt{3}$$

Fill in the blanks. If \(a b=0,\) then \(a=\)_______ or \(b=\) ________.

Fill in the blanks. The lowest (or highest) point on a parabola is called the _____ of the parabola.

Simplify. $$\sqrt{-36}$$

Solve. $$4 x^{2}-5=-x$$

Solve. $$4 x^{2}-64=0$$

Use the quadratic formula to find all real solutions of each equation. SEE EXAMPLE \(2 .\) (OBJECTIVE 1) $$3 x^{2}+6=11 x$$

Explain why the coefficient of \(x^{2}\) should be 1 before completing the square.

Solve each equation. Give both the exact answer and a decimal approximation to the nearest tenth. $$x^{2}+1=-4 x$$

Two pipes are used to fill a water tank. The first pipe can fill the tank in 4 hours, and the two pipes together can fill the tank in 2 hours less time than the second pipe alone. How long would it take for the second pipe to fill the tank?