Mathematics: Answer please...takin the quiz noww..How many and what type of solutions does the equation have?2c2=16c−32one rational solutiontwo irrational solutionstwo rational solutionstwo nonreal solutions

So, the answer is B.The answer will be greater than $300 because 480 is greater than 100.Step-by-step explanation:...

Answer please...takin the quiz noww..How many and

mprjug6

22.01.2022

The given equation is 2c^2=16c-32

We need to determine the type of solution and the number of solutions.

Solving the equation:

Let us solve the equation to determine the number of solution and the type of solution.

Subtracting both sides of the equation by 16c, we get;

2c^2-16c=-32

Adding both sides of the equation by 32, we have;

$2 c^{2}-16 c+32=0$

Let us solve the equation using the quadratic formula.

Thus, we have;

$c=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 2 \cdot 32}}{2 \cdot 2}$

Simplifying, we get;

$c=\frac{16 \pm \sqrt{{256}-256}}{4}$

$c=\frac{16 \pm \sqrt{0}}{4}$

$c=\frac{16}{4}$

c=4

Thus, the solution of the equation is 4.

Hence, the equation has one rational solution.

Therefore, Option A is the correct answer.

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