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

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Answer 1 · 2016-06-09T23:20:56

D (2 irrational solutions)

#5y^2 - 18y + 4 = 0#

Now, by the discriminant, we have

#-18^2 - 4(5)(4)#

#=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) ~~ 15.62#. Therefore, this equation will have two irrational solutions.

Hopefully this helps!