91Ó°ÊÓ

Solve each of the following exercises algebraically. The lengths of the sides of a right triangle are three consecutive even integers. Find them.

In Exercises \(1-64\), solve each of the given equations. If the equation is quadratic, use the factoring or square root method. If the equation has no real solutions, say so. $$49 x^{2}=100$$

Solve the given equation by the method of completing the square. $$24=4 y^{2}-8 y$$

Use the method you think is the most appropriate to solve the given equation. Check your answers by using a different method. $$6 x^{2}=24 x-30$$

Solve the equation by using the quadratic formula where appropriate. $$t^{2}-7 t=6$$

Sketch the graph of the given equation. Find the intercepts; approximate to the nearest tenth where necessary. $$y=2 x-10$$

Use the method you think is the most appropriate to solve the given equation. Check your answers by using a different method. $$(x-1)^{2}=5$$

Solve each of the following exercises algebraically. The denominator of a fraction is 1 more than the numerator. If the numerator is increased by \(3,\) the resulting fraction is 1 more than the original fraction. Find the original fraction.

In Exercises \(1-64\), solve each of the given equations. If the equation is quadratic, use the factoring or square root method. If the equation has no real solutions, say so. $$36 x^{2}-15=0$$

Solve the given equation by the method of completing the square. $$u^{2}+5 u-2=0$$