Question

Solve the rational equation 5 divided by x equals quantity 4 times x plus 1 end quantity divided by x squared, and check for extraneous solutions.

x = 1; x = 0 is an extraneous solution
x = 0; x = 1 is an extraneous solution
x = −1; x = 0 is an extraneous solution
x = 0; x = −1 is an extraneous solution

Answer 1

Answer:

A & C

Step-by-step explanation:

Answer 2

The rational solution is given as option A. x = 1; x=0 is an extraneous solution

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

we have given;

$\dfrac{5}{x} = \dfrac{4x + 1}{x^2}$

Multiply in cross

$5x^{2} = 4x^{2} + x\\\\5x^{2} - 4x^{2} = x\\\\x^{2} = x$

so,

x = 1

The solutions are

x=0, x= 1

Hence, x=0 is an extraneous solution.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2