Math Problem Solver

give me the answers to For each exercise, state Yes if the equation is rational $($all algebraic expressions are ratios of polynomials with no roots, logs, etc.$)$ or No if it is not.

Exercise $1$ – decide if this is a rational equation

$\dfrac{3x+2}{x-5}=7$

Exercise $2$ – decide if this is a rational equation

$\sqrt{x+4}=2x$

Exercise $3$ – decide if this is a rational equation

$\frac{5}{x}+2=3$

Exercise $4$ – decide if this is a rational equation

$x^{2}+3x-1=0$

Exercise $5$ – decide if this is a rational equation

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

Exercise $6$ – decide if this is a rational equation

$\sqrt[3]{x}+x=6$

Exercise $7$ – decide if this is a rational equation

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

Exercise $8$ – decide if this is a rational equation

$\ln(x)=x-1$

Exercise $9$ – decide if this is a rational equation

$\dfrac{x-3}{\sqrt{x}}=2$

Exercise $10$ – decide if this is a rational equation

$\dfrac{x^{2}+2x+1}{x-1}=x+3$