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What are two numbers that will MULTIPLY to give you -7 and ADD to give you 6?
a. -7
b. 6

User Cldo
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2 Answers

3 votes

Final answer:

The two numbers that multiply to give -7 and add to give 6 are 7 and -1, found by solving the system of equations x * y = -7 and x + y = 6.

Step-by-step explanation:

To find two numbers that multiply to -7 and add to 6, we need to set up a system of equations based on the given conditions. Let's denote the two numbers as x and y. Therefore, we have the following equations:

  • x * y = -7
  • x + y = 6

From the second equation, y can be expressed as 6 - x. Substituting this into the first equation, we get:

x * (6 - x) = -7

Expanding this, we have:

-x^2 + 6x = -7

Adding 7 to both sides, we get:

-x^2 + 6x + 7 = 0

This is a quadratic equation that we can factor as:

-(x - 7)(x + 1) = 0

Setting each factor equal to zero gives us:

  • x - 7 = 0
  • x + 1 = 0

Solving for x, we find that the two numbers are 7 and -1.

Therefore, the two numbers that satisfy the conditions are 7 and -1.

User Andre Ahmed
by
8.0k points
0 votes

Answer:

7, -1

Step-by-step explanation:

7(-1)= -7

7+(-1)= 6

Hope this helps

User Siddharth Pal
by
8.5k points

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