Question 1

Solve $16x^2=9$

Accepted Answer

$x=\pm 0.75$

Answer

$\pm0.25$

Answer

-0.75

Answer

0.75

Question 2

Solve  $23x^2-30=-22x^2$

Accepted Answer

$x=\pm$ $\frac {\sqrt{6}}{3}$

Answer

$\pm$ $\frac {\sqrt{30}}{5}$

Answer

$\pm$ $\frac {\sqrt{30}}{45}$

Answer

$\pm$ $\frac {\sqrt{30}}{3}$

Question 3

Solve $49x^2+4 =20 $

Accepted Answer

$x=\pm\frac{4}{7}$

Answer

$\pm\frac{1}{5}$

Answer

$\pm\frac{1}{3}$

Answer

$\pm\frac{1}{7}$

Question 4

Solve &#36;(x+6)^2=49&#36;

Accepted Answer

&#36;x=1, -13&#36;

Answer

$x=1, 7$

Answer

$x=3, 13$

Answer

$x=2, 11$

Question 5

Solve $(x-8)^2=80$

Accepted Answer

$x=8\pm4\sqrt{5}$

Answer

$x=8\pm4\sqrt{3}$

Answer

$x=8\pm\sqrt{5}$

Answer

$x=3\pm2\sqrt{5}$

Question 6

Solve $3(x+8)^2=54$

Accepted Answer

$x=-8\pm3\sqrt{2}$

Answer

$-8\pm2\sqrt{2}$

Answer

$8\pm3\sqrt{2}$

Answer

$8\pm2\sqrt{5}$

Question 7

Solve $9(x-\frac{1}{3})^2=4$

Accepted Answer

$x=1, -\frac{1}{3}$

Answer

$x=-1, -\frac{1}{3}$

Answer

$x=2, -\frac{1}{4}$

Answer

$x=-1, \frac{1}{3}$

Question 8

Solve $x^2+6x=-8$ by completing the square method.

Accepted Answer

$x=-2,-4$

Answer

$x=-2,-5$

Answer

$x=2, 4$

Answer

$x=-1,-4$

Question 9

Solve $x^2-14x-31=0$ by completing the square method.

Accepted Answer

$x=7\pm4\sqrt{5}$

Answer

$x=1\pm4\sqrt{5}$

Answer

$x=-7\pm4\sqrt{5}$

Answer

$x=5\pm3\sqrt{4}$

Question 10

Solve $x^2-5x-2=0$ completing the square method.

Accepted Answer

$x=\frac{5\pm\sqrt{33}}{2}$

Answer

$x=\frac{5\pm\sqrt{33}}{3}$

Answer

$x=\frac{-5\pm\sqrt{13}}{5}$

Answer

$x=\frac{2\pm\sqrt{3}}{7}$

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