Question

What two numbers multiply to -35 and add to get -18

Answer 1

To find two numbers that multiply to -35 and add to get -18, we need to factorize -35 into its prime factors and then test different combinations. The numbers that satisfy the condition are -21 and 3.

Step-by-step explanation:

To find two numbers that multiply to -35 and add to get -18, we need to factorize -35 into its prime factors. -35 can be written as (-1) * 5 * 7. Since the sum of the two numbers is negative, we know that one of the numbers is negative and the other is positive. We also know that the negative number must have a greater absolute value than the positive number, as the negative number multiplied by positive 7 should yield a number further from 0.

Testing different combinations, we find that -21 and 3 are the two numbers that satisfy the condition. -21 * 3 = -63 and -21 + 3 = -18.

Answer 2

he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.