Answers:
First of all, the problem is giving you clues about some unknown number. Let's start by calling that number x.
Next, there are some clue words to help us. Remember that product means that we will be multiplying. The word increased means that we will be adding.
So, the product of a number and the number increased by 2 would look like this:
x*(x + 2), or simply x(x+2).
There is one more clue: this product is 35. The word is means equal, so now we have:
x(x+2) = 35
To solve for x, we need to multiply the left side:
x^2 + 2x = 35
Subtract 35 from both sides so that your equation is = to 0.
x^2 + 2x - 35 = 0
Now, we factor the left side. We need 2 numbers that add up to 2 and multiply to -35. These numbers are +7 and -5, so
(x + 7)(x - 5) = 0
So, x = -7 OR x = 5.
Let's go back to your original problem. We will substitute our 2 possible values of x into the equation that we wrote. If they work, then we know we have our answer!
x(x+2) = 35 check: x= -7
-7(-7 + 2) = 35
-7(-5) = 35
35 = 35
x(x+2) = 35 check: x=5
5(5+2) = 35
5(7) = 35
35 = 35
So, x = 5 and x = -7 are both solutions to your problem!
This article contents is post by this website user, EduQnA.com doesn't promise its accuracy.
More Questions & Answers...