Problem 21
Solve by factoring. $$3 x^{2}=12$$
Problem 23
Solve the radical equation for the given variable. $$\sqrt[3]{5 x+2}=3$$
Problem 24
Find the \(x\) - and \(y\) -intercepts if they exist and graph the corresponding line. $$\frac{1}{3} x-\frac{1}{4} y=\frac{1}{12}$$
Problem 25
Solve using the square root method. $$x^{2}+9=0$$
Problem 25
Solve the radical equation for the given variable. $$(4 y+1)^{1 / 3}=-1$$
Problem 29
Solve the radical equation for the given variable. $$y=5 \sqrt{y}$$
Problem 29
Involve fractions. Clear the fractions by first multiplying by the least common denominator, and then solve the resulting linear equation. $$\frac{x}{7}=\frac{2 x}{63}+4$$
Problem 30
Solve each linear inequality and express the solution set in interval notation. $$3 < \frac{1}{2} A-3 < 7$$
Problem 33
Solve using the square root method. $$(1-x)^{2}=9$$
Problem 34
Write an equation that describes each variation. \(F\) varies directly with \(m\) and inversely with \(d ; F=32\) when \(m=20\) and \(d=8\).