방정식과 부등식 전체 문제

In the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared.

${q}^{2}-\frac{1}{3}q$

In the following exercises, solve by completing the square.

${c}^{2}+20c=21$

In the following exercises, solve by completing the square.

${d}^{2}+14d=-13$

In the following exercises, solve by completing the square.

${x}^{2}-4x=32$

In the following exercises, solve by completing the square.

${y}^{2}-16y=36$

In the following exercises, solve by completing the square.

${r}^{2}+6r=-100$

In the following exercises, solve by completing the square.

${t}^{2}-12t=-40$

In the following exercises, solve by completing the square.

${v}^{2}-14v=-31$

In the following exercises, solve by completing the square.

${w}^{2}-20w=100$

In the following exercises, solve by completing the square.

${m}^{2}+10m-4=-13$

In the following exercises, solve by completing the square.

${n}^{2}-6n+11=34$

In the following exercises, solve by completing the square.

${a}^{2}=3a+8$

In the following exercises, solve by completing the square.

${b}^{2}=11b-5$

In the following exercises, solve by completing the square.

$(u+8)(u+4)=14$

In the following exercises, solve by completing the square.

$(z-10)(z+2)=28$

In the following exercises, solve by completing the square.

$3{p}^{2}-18p+15=15$

In the following exercises, solve by completing the square.

$5{q}^{2}+70q+20=0$

In the following exercises, solve by completing the square.

$4{y}^{2}-6y=4$

In the following exercises, solve by completing the square.

$2{x}^{2}+2x=4$

In the following exercises, solve by completing the square.

$3{c}^{2}+2c=9$