Find the value of 4x² + 9y², if 2x+3y = 18 and xy = 5
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Answered by
15
Heya!!
2x + 3y = 18
Squaring both sides
( 2x + 3y )² = ( 18 )²
4x² + 9y² = 324 - 2 ( 6xy )
4x² + 9y² = 324 - 12 ( 5 )
4x² + 9y² = 264.
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Answered by
283
Answer:
264
Step By Step Explanation:
Given : 4x² + 9y²
This can be written as:
⇒ (2x)² + (3y)²
⇒ (2x + 3y)² - 12xy
⇒ (18)² - 12 × 5 [∵2x + 3y = 18 & xy = 5 ]
⇒ 324 - 60
⇒ 264
Hence, The value of 4x² + 9y² is 264.
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