if x+y=6 and xy=5 find the value of x^3+y^3
Answers
Answered by
2
Step-by-step explanation:
Given, x+y=5,xy=6
(x+y)
3
=x
3
+y
3
+3xy(x+y)
Therefore, 5
3
=x
3
+y
3
+3(6)(5)
⇒125=x
3
+y
3
+90
⇒x
3
+y
3
=125−90=35
Answered by
0
Answer:
126
Step-by-step explanation:
So, we have to find a pair of numbers which add up to 6 and, when multiplied, give 5.
The factors of 5 are 1 and 5. Adding both numbers gives 6. Therefore, x=5 and y=6 or vise versa. Now, we find out x^3, which is 5^3, which equals 125. And y^3, which is 1^3, which is 1. So answer is 1+125=126.
Hope it helps.
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