Solve by graphing. Check real solutions.
\displaystyle
x^{2}+2 x-8=0
Solve by graphing. Check real solutions.
\displaystyle
x^{2}-9=0
Solve by graphing. Check real solutions.
\displaystyle
x^{2}-4 x+4=0
Solve by graphing. Check real solutions.
\displaystyle
x^{2}+6 x=0
Solve by graphing. Check real solutions.
\displaystyle
x^{2}+3=-2 x
Solve by graphing. Check real solutions.
\displaystyle
-x^{2}+2 x-1=0
Solve by factoring, and check.
\displaystyle
q^{2}+2 q-15=0
Solve by factoring, and check.
\displaystyle
w^{2}+24=11 w
Solve by factoring, and check.
\displaystyle
2 k^{2}+7 k=4
Sketch the graphs of the following quadratic functions by factoring to
find the x -intercepts, and then deducing the coordinates of the vertex.
\displaystyle
y=x^{2}+6 x+5
Sketch the graphs of the following quadratic functions by factoring to
find the x -intercepts, and then deducing the coordinates of the vertex.
\displaystyle
y=x^{2}+4 x-5
Solve using the quadratic formula.
\displaystyle
y^{2}-3 y-18=0
Solve using the quadratic formula.
\displaystyle
x^{2}-8 x=-16
Solve using the quadratic formula.
\displaystyle
2 x^{2}+8+8 x=0
Solve using the quadratic formula.
\displaystyle
3 x^{2}-17 x=0
Solve using the quadratic formula.
\displaystyle
9 x^{2}-4=0
Solve using the quadratic formula.
\displaystyle
2 x^{2}+2 x=-1
Solve using the quadratic formula.
\displaystyle
0=18 w^{2}+9 w-2
Solve using the quadratic formula.
\displaystyle
12 d^{2}=5 d+3