0
x + y = 3, y = -x + 3
xy = 152
x(-x + 3) = 152
-x2 + 3x = 152
x2 - 3x = -152 form the square
x2 - 3x + (3/2)2 = (3/2)2 - 152
(x - 3/2)2 = 9/4 - 152
x - 3/2 = ±√[(9 - 152*4)/4]
x = 3/2 ± (√-599)/2
x = (3 ± i√599)/2
x = (3 + i√599)/2 or x = (3 - i√599)/2
y = 3 - x
y = 3 - (3 + i√599)/2
y = (6 - 3 - i√599)/2
y = (3 - i√599)/2 or y = (3 + i√599)/2
Check:
[(3 + i√599)/2][(3 - i√599)/2] = [32 - (i√599)2]/4 = (9 - 599i2)/4 =( 9 + 599)/4 = 608/4 = 152
(3 + i√599)/2 + (3 - i√599)/2 = (3 + i√599 + 3 - i√599)/2 = 6/2 = 3
What else can I help you with?
What two prime numbers multiplied equal sum of 90?
It is not possible to multiply two prime numbers and get 90. You can add 43 and 47.
Sum of three consecutive numbers when multiplied is -60?
Their sum is -12
Why are some numbers called square roots?
they are called square numbers because, the numbers that are being multiplied by itself(5x5=25)would equal its' sum OR answer. These numbers would be a perfect square.
What does the sum mean?
The sum of two numbers is those two numbers multiplied together. For instance, the sum of 4 and 5 is 20.
Is the sum of the squares of two numbers equal to the square of the sum of the numbers?
Not unless at least one of the numbers is zero.
What two prime numbers multiplied equal sum of 90?
It is not possible to multiply two prime numbers and get 90. You can add 43 and 47.
Sum of three consecutive numbers when multiplied is -60?
Their sum is -12
What two numbers multiplied together equal 24 and if you add those two numbers together they equal 19?
43
What is the sum of all three-digit positive numbers?
The sum of all the integers between 100 and 999 is equal to 494450 - which also happens to be the answer to the sum 899 x 500 (which refers to the number of numbers multiplied by the mean number + 0.5).
Why are some numbers called square roots?
they are called square numbers because, the numbers that are being multiplied by itself(5x5=25)would equal its' sum OR answer. These numbers would be a perfect square.
What 2 numbers are multiplied and your sum is 210?
105
What does the sum mean?
The sum of two numbers is those two numbers multiplied together. For instance, the sum of 4 and 5 is 20.
What are the sum and the product of a number?
The sum is the total when numbers are added together, the product is the total when they are multiplied.
The sum of three consecutive even integers is 450?
The numbers are 148, 150 and 152.
Is the sum of the squares of two numbers equal to the square of the sum of the numbers?
Not unless at least one of the numbers is zero.
What is the sum of the two largest prime numbers less than 80?
79 + 73 = 152
What two items must be equal for a nuclear equation to be balanced?
The sum of the mass numbers and the sum of the atomic numbers must be equal on both sides of a balanced nuclear equation.
