Solving cube root equations Quiz 1

Question 1

Solve the following cube root to form a cubic equation: $$\left( {x + 2} \right) = \sqrt[3]{2}$$

Accepted Answer

$${x^3} + 6{x^2} + 12x + 6 = 0$$

Answer

$${x^3} + 6{x^2} + 12x + 8 = 0$$

Answer

$$2{x^3} + 4{x^2} + 12x + 8 = 0$$

Answer

$$2{x^3} + 6{x^2} + 16x + 6 = 0$$

Question 2

Solve: $$\sqrt[3]{{7x - 6}} = 2$$

Accepted Answer

$$2$$

Answer

$$7$$

Answer

$$8$$

Answer

$$6$$

Question 3

Find: $$\sqrt[3]{{{x^2} - 10x + 22}} = 1$$

Accepted Answer

$$3,7$$

Answer

$$13,7$$

Answer

$$3,9$$

Answer

$$9,7$$

Question 4

Solve the cube root of $$\sqrt[3]{{{x^2} + 18x + 144}} = 4$$

Accepted Answer

$$ - 10, - 8$$

Answer

$$ - 12, - 8$$

Answer

$$10, - 18$$

Answer

$$10, - 8$$

Question 5

Solve for $$x: \sqrt[3]{{{x^3} - 28{x^2} + 252x - 595}} = 5$$

Accepted Answer

$$6,10,12$$

Answer

$$8,12,12$$

Answer

$$6,10,17$$

Answer

$$6,10,10$$