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Let's x be one of the numbers, and y the other number. So,
x + y = -8
xy = 6
y = -x - 8
x(-x -8) = 6
-x^2 - 8x = 6 multiply by -1 both sides
x^2 + 8x = -6 solve for x by completing the square;
x^2 + 8x + 16 = -6 + 16
(x + 4)^2 = 10
x + 4 = square root of 10
x = -4 + square root of 10 or x = -4 - square root of 10
if we continue to solve the system of the equations, we can find the same value for y.
Thus the numbers are -4 + square root of 10 and -4 - square root of 10.
Check:
(-4 + square root of 10) + (-4 - square root of 10)
= -4 + square root of 10 - 4 - square root of 10
= -8
(-4 + square root of 10)(-4 - square root of 10)
= (-4)^2 - (square root of 10)^2
= 16 - 10
= 6
What else can I help you with?
What multiplies together to give you -6 and adds together to give you 2?
-4
What multiplies together to give you 4 and adds together to give you -6?
-1, -1, -2, -2 works.
What adds to give -1 and multiplies to give -20?
-21
How do you keep straight the difference between a factor and a multiple?
A factor will be a smaller number than the original number. You are determining what numbers multiply together to give the original number. A multiple will be bigger than the original number. You are determining what the number will be when multiplied by another number. This is a rule of thumb that only works for numbers that are positive and greater than one. It won't be true for fractions or decimals.
Is 240 a multiple of 7?
240 divided by 7 does not give a whole number and therefore 240 is not a multiple of 7.
What number added together give a sum of 24 and when multiplied together give a sum of 119?
17 and 7
What are all the common multiple of 11?
There is no such thing, because you didn't give a second number. You can have a common multiple of 2 or more numbers, but not of one number by itself.
What is the difrence between a factor and a multiple?
They have a converse relationship. A factor is a number that divides into another, with no remainders. A multiple is something that can be multiplied by another number, to reach the original number that you had. Thus: Original number / a factor = a multiple Multiple * (the correct factor) = original number. "the correct factor", because most number have more than one factor. But only one factor * multiple will give the original number.
What are multiples of 132?
There is an infinite number of multiples of 132. Choose any number and multiply, this will give you a product. Which is the name given to the result of multiplying numbers together. If you choose a number less than 1 then the result will be less than 132 but is also a multiple of it.
What number multiply to give you 648 and adds to give you 3?
651
Is 36 a factor multiple or neither for 24?
Oh honey, 36 is neither a factor nor a multiple of 24. Factors are numbers that can be multiplied to give you a certain number, and multiples are just what you get when you keep adding that number. 36 just doesn't fit the bill for either with 24, so they're not meant to be together.
What is the common multiple for 88?
It is not possible to give a sensible answer to this question. A common multiple refers to a multiple that is COMMON to two or more numbers. You have only one number in the question!
