the sum of two number is 7and the sum of the cube is 133,find the number
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the sum of two number is 7and the sum of the cube is 133,find the number
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The sum of two numbers is 7 and the sum of their cubes is 133, find the sum of their squares.
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Correct option is A)
Let two number be a and b,
According to question,we get,
a+b=7
a
3
+b
3
=133
Now,
(a+b)
3
=a
3
+b
3
+3ab(a+b)
=>7
3
=133+3ab(7)
=>
21
343−133
=ab
=>ab=
21
210
=>ab=10
Now,
(a+b)
2
=a
2
+b
2
+2ab
=>7
2
=a
2
+b
2
+2(10)
=>a
2
+b
2
=49−20
=>a
2
+b
2
=29
Explanation:
name devika
from Kerala live in Maharashtra
age 12
std 8th
and you