0
51 > 0. Since the sum 14 is positive, the factors of 51 are both positive. The problem is that 51 = 3*17 and 3 + 17 = 20 ≠ 14.
But we are lucky that 14 = 7 + 7. So wee can use the difference of the squares such as (7 - A)(7 + A) = 49 - A2 = 51, where -A2 = 2 = -(i√2)2 .
Thus, the numbers are 7 - i√2 and 7 + i√2.
or algebraically,
x + y = 14; y = 14 - x
xy = 51
x(14 - x) = 51
-x2 +14x = 51
x2 -14x = -51
x2 -14x + 72 = -51 + 49
(x - 7)2 = -2
x - 7 = ± √-2
x = 7 ± i√2
Still curious? Ask our experts.
Chat with our AI personalities
Beau
Devin
BlakeAdd your answer:
Earn +20 pts
What two numbers would multiply to give you -51 but add to give you 14?
-37
What does 7 x 14 plus 1 mean?
It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.It means you need to multiply 7 by 14 and then add 1 to the answer.
What equals multiply 51?
When you multiple 17 by 3, you get 51. That is add 17 to itself for 3 times.
What two factors multiply to equal 196 and add up to equal -28?
-14 and -14 Add them together to get -28 Multiply them to get 196
How ti write a fraction greater than 1 as a mixed number?
Multiply the integer with the denominator, add to the numerator, and put on top of the denominator. Example:10 1/5 = 51/5. The "51" was obtained as (10 x 5) + 1.Multiply the integer with the denominator, add to the numerator, and put on top of the denominator. Example:10 1/5 = 51/5. The "51" was obtained as (10 x 5) + 1.Multiply the integer with the denominator, add to the numerator, and put on top of the denominator. Example:10 1/5 = 51/5. The "51" was obtained as (10 x 5) + 1.Multiply the integer with the denominator, add to the numerator, and put on top of the denominator. Example:10 1/5 = 51/5. The "51" was obtained as (10 x 5) + 1.
