the product of a positive numbers and four more than the number is 32. What is the number?

Question

Enter in this problems quadratic equation in standard form. ax^2+bx+c=0 

Please solve this math word problem. I am completely stumped. 

Answer 1

n =  the number

 

The wording of the problem translates into algebra as

 

n(n + 4) = 32

 

n² + 4n - 32 = 0

 

a = 1

b = 4

c = -32

 

Solve for n by factoring or by applying the quadratic formula.  The positive solution is 

 

n = 4.

 

Test the answer.