Real Solutions to Equations: Simplifying and Solving for the Roots of a Polynomial

The problem is the square root of (2x-1)=x^2-4x+4. Find its roots.

Asymptotes

Make a hand drawn graph for the following. Be sure to label all the asymptotes. List the x and y intercepts. f(x)= (2X + 1) / (X^2 -5X-3)

Solving logarithmic functions

Solve each function. Give all approximations correct to 7 decimal places. a) ln x =1/2 ln (2x +5/2) +1/2 ln 2 b) log (5x-1)=2+ log (x-2)

logs/inequalities? long division

polynomial with real coefficient

Sample Math Problems

Sample algebra problems

Algebra: Word problem that requires a number be found after many manipulations.

When the digits of a two digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?

Newton's Law of Cooling: Which container should be purchased?

Please see the attached file for the fully formatted problems. A fast-food restaurant wants a special container to hold coffee. The restaurant wishes the container to quickly cool the coffee from 200F to 130F and keep the liquid between 110F and 130 F as long as possible. The restaurant has three containers to select from. ...continues

Algebra: Solution Set, Asymptote, Solve for X

1. In interval notation, the solution set of -(5x + 1) < 4x - 19 is? 2. A horizontal asymptote for f(x)= 2 + 1/x2 is? 3. The value of 17C3 is? 4. Solve for x: absolute value ( 7x - 1) <3

Divide Using Long Division and Solve Log Equation

Please see the attached file for the fully formatted problems. 1. Solve: log2x + log2(x-4) = 2 2. Use long division: (-x4 + 2x2 -12x - 3)/(x3 + x)

Solve logarithmic equations

Solving logarithmic equations 1 ------------ = 4 e^x - e^(-x) ln(x^2) = ln(9) 5^(3x+4) = 2^(1-5x)