Chapter 9

In solving \(\sqrt{2 x-1}+2=x,\) why is it a good idea to isolate the radical term? What if we don't do this and simply square each side? Describe what happens.

Solve quadratic equation by completing the square. \(x^{2}=5 x-3\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x-3)^{2}=15$$

Solve each quadratic equation using the quadratic formula. $$x^{2}+2 x+2=0$$

Graph the parabola whose equation is given $$y=x^{2}-2 x-8$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$3 x^{2}=60$$

Solve quadratic equation by completing the square. \(2 x^{2}-2 x-6=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(y+8)^{2}=11$$

Solve each quadratic equation using the quadratic formula. $$x^{2}-6 x+13=0$$

Graph the parabola whose equation is given $$y=x^{2}+4 x-5$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$$2 x^{2}=250$$

Solve quadratic equation by completing the square. \(2 x^{2}-4 x-2=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(y+7)^{2}=5$$

Solve each quadratic equation using the quadratic formula. $$x^{2}-6 x+10=0$$

Graph the parabola whose equation is given $$y=-x^{2}+4 x-3$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$x^{2}-2 x=1$$

Solve quadratic equation by completing the square. \(2 x^{2}-3 x+1=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(z-4)^{2}=18$$

Solve each quadratic equation using the quadratic formula. $$x^{2}-12 x+40=0$$

Graph the parabola whose equation is given $$y=-x^{2}+2 x+3$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$2 x^{2}+3 x=1$$

Solve quadratic equation by completing the square. \(2 x^{2}-x-1=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(z-6)^{2}=12$$

Solve each quadratic equation using the quadratic formula. $$x^{2}-4 x+29=0$$

Graph the parabola whose equation is given $$y=x^{2}-1$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$(2 x+3)(x+4)=1$$

Solve each quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square root property. Simplify radicals, if possible. $$x^{2}+4 x+4=16$$

Solve quadratic equation by completing the square. \(2 x^{2}+10 x+11=0\)

Solve each quadratic equation using the quadratic formula. $$x^{2}=10 x-27$$

Graph the parabola whose equation is given $$y=x^{2}-4$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$(2 x-5)(x+1)=2$$

Solve each quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square root property. Simplify radicals, if possible. $$x^{2}+4 x+4=25$$

Solve quadratic equation by completing the square. \(2 x^{2}+8 x+5=0\)

Solve each quadratic equation using the quadratic formula. $$x^{2}=4 x-7$$

Express each function as a set of ordered pairs. $$f(x)=2 x+3 ; \text { domain: }[-1,0,1]$$

Graph the parabola whose equation is given $$y=x^{2}+2 x+1$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$(3 x-4)^{2}=16$$

Solve each quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square root property. Simplify radicals, if possible. $$x^{2}-6 x+9=36$$

Solve quadratic equation by completing the square. \(4 x^{2}-2 x-3=0\)

Solve each quadratic equation using the quadratic formula. $$5 x^{2}=2 x-3$$

Express each function as a set of ordered pairs. $$f(x)=3 x+5 ; \text { domain: }\\{-1,0,1\\}$$

Graph the parabola whose equation is given $$y=x^{2}-2 x+1$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$(2 x+7)^{2}=25$$

Solve each quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square root property. Simplify radicals, if possible. $$x^{2}-6 x+9=49$$

Solve quadratic equation by completing the square. \(3 x^{2}-2 x-4=0\)

Solve each quadratic equation using the quadratic formula. $$6 x^{2}=-2 x-1$$

Express each function as a set of ordered pairs. \(g(x)=x-x^{2} ;\) domain: the set of integers from \(-2\) to 2 inclusive

Graph the parabola whose equation is given $$y=-2 x^{2}+4 x+5$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$3 x^{2}-12 x+12=0$$

Solve each quadratic equation by first factoring the perfect square trinomial on the left side. Then apply the square root property. Simplify radicals, if possible. $$x^{2}-10 x+25=2$$