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What adds to 6 and multiplies to 20

User ROODAY
by
7.3k points

2 Answers

4 votes

Final answer:

To find two numbers that add to 6 and multiply to 20, we can use algebra.

Step-by-step explanation:

To find two numbers that add to 6 and multiply to 20, we can use algebra. Let's call the two numbers x and y. We can set up the following equations:

x + y = 6

x * y = 20

Now we can solve these equations simultaneously. One way to do this is by substitution.

We can solve one equation for one variable in terms of the other and substitute it into the other equation.

Let's solve the first equation for x in terms of y:

x = 6 - y

Now we can substitute this into the second equation:

(6 - y) * y = 20

Expanding and rearranging the equation, we get:

y^2 - 6y + 20 = 0

This is a quadratic equation that we can solve using factoring or the quadratic formula.

By factoring, we can see that the factors of 20 that add up to -6 are -2 and -4. So the two numbers that add to 6 and multiply to 20 are 2 and 4.

User Vtcajones
by
8.4k points
3 votes
Add 4 which equals to 10 then multiply by 2 then that equals 20!
User Glasses
by
7.7k points

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