0
Ooh, a puzzle. I like these.
xy=1 AND
x+y=5 ==> y=5-x this step will keep things easier since we will need to substitute
You're going to wind up with a quadratic equation which will give you two numbers.
Substituting, we can have:
y=5-x --> x(5-x)=1 ==> 5x-x2=1 which can be rewritten as
0=x2-5x+1
Boom.
Now to solve this, we go to the quadratic equation. ax2+bx+c
b2-4ac = 25-4(1)(1)=21 I like to solve the inside of the sqrt bracket first
(-b± sqrt (21)) /2a here is the equation with the inside already completed - notice there is a plus/minus sign. there are two equations to be done, one addition, one subtraction.
Since the sqrt(21) is a crazy decimal thing, I won't resolve it into a decimal until the end.
-b+sqrt(21)/2a = 5+sqrt(21)/2
-b-sqrt(21)/2a = 5-sqrt(21)/2
sqrt(21) is approx. 4.583 so we get
5+4.583/2 = 9.583/2 = 4.792 = x
and
5-4.583/2 = .417/2 = .208 = y
Note: the numbers given as x and y are accurate but not 100% because of decimal rounding. This is a good an answer as any and no one should have cause to complain; the answer checks out. :)
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You are thinking of a number you multiply it by 8 and add 12 you get the same answer when you multiply it by 2 and add 120 what is the number?
1
What two numbers multiply to -80 and add up to 79?
-1
What two numbers do you multiply to get -7 and add to get -6?
-13
What two numbers multiply to -210 and add to get 1?
-209
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-9
What two number multiply to negative 6 and add 1?
7
You are thinking of a number you multiply it by 8 and add 12 you get the same answer when you multiply it by 2 and add 120 what is the number?
1
What two numbers multiply to 2 and add to 2?
1 + i and 1 - i, where i is the imaginary number equal to the square root of -1
Why do you get an odd number when you multiply an odd number by an odd number?
Let E1 and E2 be two even numbers. Then (E1+1)(E2+1) will be the product of two odd numbers. We have E1*E2 +E2+E1+1. Now when we add or multiply even numbers, we get even numbers and we add 1, it's odd.
How do you change a mixed number of 1 and 2 3 into an improper fraction?
you multiply the one and the three and add the two
What two number multiply 23 and add 16?
There aren't any whole numbers that satisfy these conditions. The only numbers that multiply to 23 are 23 and 1.
What two numbers multiply to 12 and add to -13?
-1
What two number multiply to 33 and add to -2?
31
What is two numbers that when you add them equals five and what are the same to numbers when you multiply them equals 36?
The two numbers that satisfy the given conditions are 4 and 1. When you add 4 and 1, you get 5. When you multiply 4 and 1, you get 4. The two numbers are 4 and 1.
What two numbers add to get 17 and multiply to get -18?
-1
What two numbers add to -4 and multiply to 3?
-1
What two numbers will multiply to 5 and add to 4?
There are no two real numbers that do, but the complex numbers (2 + i) and (2 - i) will.If you want two numbers that multiply to negative 5 and add to positive 4 then: -1 and 5If you want two numbers that multiply to negative 5 and add to negative 4 then: 1 and -5
