Question

Which answer choices accurately match each function with its corresponding solution or factored form?

1) $$3x - 5 = 3x^2$$   
2) $$0 = -x^3 + 125$$   
3) $$f(x, y, z) = 36x^4 - 169x^2y^6z^{18}$$

Accepted Answer

1) $$x = \frac{1}{2} + \frac{\sqrt{51}}{6}i$$ and $$x = \frac{1}{2} - \frac{\sqrt{51}}{6}i$$   
2) $$x = 5$$ and $$x = -\frac{5(1 - \sqrt{3}i)}{2}$$ and $$x = -\frac{5(1 + \sqrt{3}i)}{2}$$   
3) $$f(x,y,z) = x^2(6x + 13y^3z^9)(6x - 13y^3z^9)$$

Answer

1) $$x = \frac{1}{2} + \frac{\sqrt{51}}{6}i$$ and $$x = \frac{1}{2} - \frac{\sqrt{51}}{6}i$$   
2) $$x = 5$$ and $$x = \frac{5(1 - \sqrt{3}i)}{2}$$ and $$x = \frac{5(1 + \sqrt{3}i)}{2}$$   
3) $$f(x,y,z) = (6x + 13y^3z^9)(6x - 13y^3z^9)$$

Answer

1) $$x = \frac{1}{2} + \frac{51}{6}i$$ and $$x = \frac{1}{2} - \frac{51}{6}i$$   
2) $$x = 5$$ and $$x = -\frac{5(1 - 3i)}{2}$$ and $$x = -\frac{5(1 + 3i)}{2}$$   
3) $$f(x,y,z) =(6x + 13y^3z^9)(6x - 13y^3z^9)$$

Answer

1) $$x = \frac{1}{2} + \frac{51}{6}i$$ and $$x = \frac{1}{2} - \frac{51}{6}i$$   
2) $$x = 5$$ and $$x = \frac{5(1 - 3i)}{2}$$ and $$x =\frac{5(1 + 3i)}{2}$$   
3) $$f(x,y,z) = x^2(6x + 13y^3z^9)(6x - 13y^3z^9)$$

Question 5 - Next Generation Advanced Algebra and Functions Practice Test for the ACCUPLACER Test