Question

What two numbers multiply to equal -7 but add to equal -6

Answer 1

To find two numbers that multiply to -7 and add to -6, we can set up two equations and solve them. The two numbers are 1 and -7.

Step-by-step explanation:

To find two numbers that multiply to -7 and add to -6, let's call the two numbers x and y. We can set up two equations based on the given information:

1. x * y = -7
2. x + y = -6

We can solve this system of equations by substitution or elimination. Let's use substitution:

From the second equation, we can solve for x:

x = -6 - y

Substitute this value of x into the first equation:

(-6 - y) * y = -7

Expand and rearrange the equation:

-6y - y^2 = -7

Rewrite the equation in standard quadratic form:

y^2 + 6y - 7 = 0

Factor the quadratic equation:

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

Solve for y:

1. y + 7 = 0 -> y = -7
2. y - 1 = 0 -> y = 1

Now substitute these values of y back into the second equation to find the corresponding values of x:

1. When y = -7, x = -6 - (-7) = 1
2. When y = 1, x = -6 - 1 = -7

Therefore, the two numbers that multiply to -7 and add to -6 are 1 and -7.

Answer 2

That's impossible. First off no two whole numbers can be multiplied to make 7. Second if you were to use fractions I am 99% positive no fractions multiplied to equal 7 will add up to six