How many and what type of solutions does the equation have? 2c2=16c−32 two rational solutions two irrational solutions one rational solution two nonreal solutions

Question

asked Dec 18, 2018 98.4k views

2 Answers

Clemej · Answer 1 · 2018-12-24T13:02:26+0000

Answer: The answer is (C).

Step-by-step explanation: The given quadratic equation is

$2c^2=16c-32\\\\\Rightarrow c^2=8c-16\\\\\Rightarrow c^2-8c+16=0.$

We know that the type of the solution of a quadratic equation depends upon the discriminant.

Here, the discriminant is given by

D=8^2-4* 1* 16=64-64=0.

Since the discriminant is zero, so the two roots are real and equal.

Thus, we can say that the equation has one rational solution.

Hence, (C) is the correct option.