# How many and what type of solutions does the equation have? 5y^2 = 18y – 4 A. no real solutions B. one real solution C. two rational solutions D. two irrational solutions

Jun 9, 2016

D (2 irrational solutions)

#### Explanation:

$5 {y}^{2} - 18 y + 4 = 0$

Now, by the discriminant, we have

$- {18}^{2} - 4 \left(5\right) \left(4\right)$

$= 324 - 80$

$= 244$

We have to ask ourselves, is sqrt(244 a rational or an irrational number?

Using a calculator, we have that $\sqrt{244} \approx 15.62$. Therefore, this equation will have two irrational solutions.

Hopefully this helps!