91Ó°ÊÓ

In Exercises \(69-72,\) you are tutoring a friend and want to create some quadratic equations that can be solved by factoring. Find a quadratic equation that has the given solutions and explain the procedure you used to obtain the equation. $$4 and -3$$

Solve the equation. \(|x|=3\)

Find the greatest common factor. $$49,64$$

Find the greatest common factor of the numbers. 9 and 12

Find the greatest common factor of the numbers. 15 and 45

Find the greatest common factor of the numbers. 14 and 18

Find the greatest common factor of the numbers. 55 and 132

You are saving money for a trip to Europe that costs \(\$ 3600 .\) You make an investment of \(\$ 1000\) two years before the trip and an investment of \(\$ 1800\) one year before the trip. Use \((1+r)\) as a growth factor to write an equation that can be solved to find the growth rate \(r\) that you need in order to have \(\$ 3600\) at the time of the trip to Europe.

Tell how many solutions the equation has. $$ 6 x^{2}-12 x-6=0 $$

Is it possible for a rectangle with a perimeter of 52 centimeters to have an area of 148.75 square centimeters? Explain.