Solving Square Root Equations Quiz 3

Question 1

Solve for $$x: \sqrt{4x-9}+\sqrt{3x-2}=\sqrt{12x-8}$$?

Accepted Answer

$$7$$

Answer

$$-3$$

Answer

$$\dfrac{2}{5}$$

Answer

$$-5$$

Question 2

If $$x=\dfrac{\sqrt{5}-\sqrt{3}}{\sqrt{2}}$$, find the value of $$3{{x}^{6}}-20{{x}^{4}}-29{{x}^{2}}+19$$.

Accepted Answer

15

Answer

-10

Answer

18

Answer

21

Question 3

Solve for x: $$\sqrt{289{{x}^{2}}-169}=4\sqrt{17x+13}-\sqrt{68x+52}$$

Accepted Answer

1

Answer

-4

Answer

2

Answer

$$\dfrac{-17}{13}$$

Question 4

Solve for x: $$\sqrt{5x-4}+\sqrt{2x+1}-\sqrt{3x-1}=2$$ .

Accepted Answer

$$x=\dfrac{3}{2},\dfrac{5}{3}$$

Answer

$$x=\dfrac{2}{5},\dfrac{3}{5}$$

Answer

$$x=\dfrac{3}{5},\dfrac{7}{2}$$

Answer

$$x=\dfrac{-2}{3},\dfrac{5}{6}$$

Question 5

Simplify: $$\sqrt{\sqrt{x}-\sqrt{x+\sqrt{x}+\sqrt{x+\sqrt{4\sqrt{x}+1+4x}}}}$$

Accepted Answer

$$i$$

Answer

$$i-1$$

Answer

$$i+1$$

Answer

$$2i$$