91Ó°ÊÓ

Compute the discriminant. Then determine the number and type of solutions for the given equation. $$2 x^{2}+6 x=0$$

Solve polynomial inequality and graph the solution set on a real number line. \(3 x^{2}>4 x+2\)

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. $$x^{\frac{2}{3}}-x^{\frac{1}{3}}-6=0$$

Use the vertex and intercepts to sketch the graph of each quadratic function. Use the graph to identify the function's range. $$f(x)=1-(x-3)^{2}$$

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. $$x^{\frac{2}{3}}+2 x^{\frac{1}{3}}-3=0$$

Compute the discriminant. Then determine the number and type of solutions for the given equation. $$3 x^{2}-5 x=0$$

Solve polynomial inequality and graph the solution set on a real number line. \(3 x^{2}>10 x-5\)

Compute the discriminant. Then determine the number and type of solutions for the given equation. $$5 x^{2}+3=0$$

Solve each equation by making an appropriate substitution. If at any point in the solution process both sides of an equation are raised to an even power, a check is required. $$x^{\frac{2}{5}}+x^{\frac{1}{5}}-6=0$$

Solve polynomial inequality and graph the solution set on a real number line. \(2 x^{2}-5 x \geq 1\)