Chapter 6

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$25 x^{2}-30 x+9=0$$

Add or subtract as indicated. $$(-3-10 i)+(2-13 i)$$

Solve each inequality and graph its solution set on a number line. $$\frac{x}{3 x+7} \geq 0$$

Solve each quadratic equation using the method that seems most appropriate to you. $$12 x^{2}+23 x-9=0$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$2 n^{2}-3 n+5=0$$

Use the method of completing the square to solve each quadratic equation. $$x^{2}+8 x-4=0$$

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$16 x^{2}-8 x+1=0$$

Add or subtract as indicated. $$(-4-12 i)+(-3+16 i)$$

Solve each inequality and graph its solution set on a number line. $$\frac{-x+2}{x-1} \leq 0$$

Solve each quadratic equation using the method that seems most appropriate to you. $$4 t^{2}+4 t-1=0$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$x^{2}-18 x+80=0$$

Use the method of completing the square to solve each quadratic equation. $$y^{2}-10 y=1$$

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$6 x^{2}-5 x-21=0$$

Add or subtract as indicated. $$(4-8 i)-(8-3 i)$$

Solve each inequality and graph its solution set on a number line. $$\frac{3-x}{x+4} \leq 0$$

Solve each quadratic equation using the method that seems most appropriate to you. $$5 t^{2}+5 t-1=0$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$x^{2}+19 x+70=0$$

Use the method of completing the square to solve each quadratic equation. $$y^{2}-6 y=-10$$

Solve each of the quadratic equations by factoring and applying the property, \(a b=0\) if and only if \(a=0\) or \(b=0\). If necessary, return to Chapter 3 and review the factoring techniques presented there. $$12 x^{2}-4 x-5=0$$

Add or subtract as indicated. $$(12-9 i)-(14-6 i)$$

Solve each inequality. $$x^{2}+2 x-35<0$$

Solve each equation. $$n+\frac{3}{n}=\frac{19}{4}$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$-y^{2}=-9 y+5$$

Use the method of completing the square to solve each quadratic equation. $$n^{2}-8 n+17=0$$

Solve each radical equation. Don't forget, you must check potential solutions. $$3 \sqrt{x}=x+2$$

Add or subtract as indicated. $$(-1-i)-(-2-4 i)$$

Solve each inequality. $$x^{2}+3 x-54<0$$

Solve each equation. $$n-\frac{2}{n}=-\frac{7}{3}$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$-y^{2}+7 y=4$$

Use the method of completing the square to solve each quadratic equation. $$n^{2}-4 n+2=0$$

Solve each radical equation. Don't forget, you must check potential solutions. $$3 \sqrt{2 x}=x+4$$

Add or subtract as indicated. $$(-2-3 i)-(-4-14 i)$$

Solve each inequality. $$x^{2}-11 x+28>0$$

Solve each equation. $$\frac{3}{x}+\frac{7}{x-1}=1$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$2 x^{2}+x-4=0$$

Use the method of completing the square to solve each quadratic equation. $$n(n+12)=-9$$

Solve each radical equation. Don't forget, you must check potential solutions. $$\sqrt{2 x}=x-4$$

Add or subtract as indicated. $$\left(\frac{3}{2}+\frac{1}{3} i\right)+\left(\frac{1}{6}-\frac{3}{4} i\right)$$

Solve each inequality. $$x^{2}+11 x+18>0$$

Solve each equation. $$\frac{2}{x}+\frac{5}{x+2}=1$$

Use the quadratic formula to solve each of the quadratic equations. Check your solutions by using the sum and product relationships. $$2 x^{2}+5 x-2=0$$

Use the method of completing the square to solve each quadratic equation. $$n(n+14)=-4$$

Solve each radical equation. Don't forget, you must check potential solutions. $$\sqrt{x}=x-2$$

Add or subtract as indicated. $$\left(\frac{2}{3}-\frac{1}{5} i\right)+\left(\frac{3}{5}-\frac{3}{4} i\right)$$

Solve each inequality. $$3 x^{2}+13 x-10 \leq 0$$

Solve each equation. $$\frac{12}{x-3}+\frac{8}{x}=14$$

Use the method of completing the square to solve each quadratic equation. $$n^{2}+2 n+6=0$$

Solve each radical equation. Don't forget, you must check potential solutions. $$\sqrt{3 x}+6=x$$

Add or subtract as indicated. $$\left(-\frac{5}{9}+\frac{3}{5} i\right)-\left(\frac{4}{3}-\frac{1}{6} i\right)$$

Solve each inequality. $$4 x^{2}-x-14 \leq 0$$