How do I solve the following problem? When I try to answer, I get a polynomial that I cannot factor. What am I doing wrong? The product of two positive numbers is 50. Find the two numbers if one of the numbers is 6 more than the other.

Expert Answers

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I am guessing since you say you cannot factor that you began by translating the equation.

You can solve this with the quadratic formula.  For example, translate this sentence to an equation.

The product of two positive numbers is 50. Find the two numbers if one of the numbers is 6 more than the other.

Using ^ for exponents and * for multiplication, here is the equation:

50 = X * (X +6)

X^2 + 6x -50 = 0

Notice that it says two positive numbers, not two positive whole numbers.

Using quadratic formula:

x = 4.68114

x =  -10.681

I have included a web site with a quadratic formular calculator and another with a factoring calculator.

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