SOLUTION: (1) A woman is 35years old and her son is 25years old how many years ago was their product is their ages is 1740? (2) A number is subtracted from 20 and from 17. The product o

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Question 407981: (1) A woman is 35years old and her son is 25years old how many years ago was their product is their ages is 1740? (2) A number is subtracted from 20 and from 17. The product of the numbers obtain is 180. Find the original number?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(1) A woman is 35years old and her son is 25years old how many years ago was their product is their ages is 1740?
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x*(x+10) = 1740

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=7060 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 37.0119030752, -47.0119030752. Here's your graph:

It's in the future, when she's 47.012 and he's 37.012.
She had a son at age 10, I don't think algebra is her biggest problem.
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(2) A number is subtracted from 20 and from 17. The product of the numbers obtain is 180. Find the original number?
(20-x)*(17-x) = 180


Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=2009 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.91093483101497, -40.910934831015. Here's your graph:

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