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What are 2 numbers that multiply to 120 and add to 2

User Shawntay
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To find two numbers that multiply to 120 and add to 2, we can use algebra. Let's call the two numbers x and y, so we have:

x + y = 2 (equation 1)
xy = 120 (equation 2)

We can solve equation 1 for one of the variables, say y:

y = 2 - x

Now we can substitute this expression for y into equation 2:

x(2 - x) = 120

Expanding the left side, we get:

2x - x^2 = 120

Rearranging and simplifying:

x^2 - 2x + 120 = 0

Now we can use the quadratic formula to solve for x:

x = [2 ± sqrt(2^2 - 4(1)(120))] / 2
x = [2 ± sqrt(-472)] / 2

Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no two real numbers that multiply to 120 and add to 2.
User Atams
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