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Nikolay [14]
3 years ago
8

Reason Abstractly Find two integers whose sum is -7 and whose

Mathematics
2 answers:
Travka [436]3 years ago
7 0

Step-by-step explanation:

Let's represent the two integers with the variables x and y.

From the problem statement, we can create the following two equations:

x + y = -7

xy = 12

With the first equation, we can subtract y from both sides to isolate the x variable to the left-hand side:

x = -7 - y

Now that we have a value for x, we can plug it into the second equation and solve for y:

(-7 - y)y = 12

-7y - y^{2} = 12

Now, let's move everything to one side of the equation:

y^{2} + 7y + 12 = 0

Factoring this quadratic will give us two values for y:

(y + 4)(y + 3) = 0

y = -3, -4

Since we now know y = -3, -4, we can plug this back into either of the original equations to get a value for x, which will be x = -4, -3.

So the two numbers that sum to -7 and have a product of 12 are -3, -4.

Ulleksa [173]3 years ago
4 0

Answer: -3 and -4

Step-by-step explanation: you can use a system of equations.

x+y=-7

xy=12

Solve for x

x=-7-y

Replace x in the other equation and solve for y

(-7-y)y=12

y^2+7y+12=0

(y+3)(y+4)=0

y+3=0 y+4=0

y=-3 y=-4

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