If 3x+5x=6 and xy=-2,find the value of 9x²+25y²
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Answered by
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Correct Question:
If 3x + 5y = 6 and xy = -2, find the value of 9x² + 25y²
Answer:
The required value of 9x² + 25y² is 96.
Step-by-step explanation:
Given :
3x + 5y = 6 and xy = -2
To find :
the value of 9x² + 25y²
Solution :
We know,
(a + b)² = a² + b² + 2ab
Put
- a = 3x
- b = 5y
(3x + 5y)² = (3x)² + (5y)² + 2(3x)(5y)
⇒ 6² = 9x² + 25y² + 30xy
⇒ 36 = 9x² + 25y² + 30(-2)
⇒ 36 = 9x² + 25y² - 60
⇒ 9x² + 25y² = 36 + 60
⇒ 9x² + 25y² = 96
∴ The required value of 9x² + 25y² is 96.
Answered by
1
plz refer to above attachment
ur question is wrong
it must be 3x + 5y = 6
and I have given answer according to it
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