Solve the equation

x^2(1+x)^2+x^2=8(1+x)^2

Solve the cube root equation

\sqrt[3]{14+\sqrt{x} } +\sqrt[3]{14-\sqrt{x} } =4

Solve the equation

(x+2)^4+(x+1)^4=97

Solve the equation

(x+2)^4+x^4 = 82

Solve the equation

\dfrac{1}{x^2}+\dfrac{1}{(x+2)^2}=\dfrac{10}{9}

Solution for a depressed cubic equation

b=2.35+0.25x

c=1.75+0.40x

In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken

Solve the equation

\dfrac{1}{x^3} -\dfrac{1}{(x+1)^3} =\dfrac{7}{8}

What is the solution (x,y) to the system of equations below?

\begin{alignedat}{2} 3 &x+ &4 &y = -23 \\ 2 & y- & &x = -19 \end{alignedat}

m=\dfrac{\Big( \dfrac{r}{1200} \Big) \Big( 1+\dfrac{r}{1200} \Big) ^N}{\Big( \dfrac{r}{1200} \Big) ^N-1} P

The formula above gives the monthly payment m needed to pay off a loan of P dollars at r percent annual interest over N months. Which of the following gives P in terms of m, r, and N?

h =3a+28.6

A pediatrician uses the model above to estimate the height of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P=108−23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

If a,b\in R such that a\sqrt{a} +b\sqrt{b} =183 and b\sqrt{a} +a\sqrt{b} =182, find the value of \dfrac{9}{5}(a+b)