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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
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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.
