मराठी

If 4x2 + y2 = a and xy = b, find the value of 2x + y. - Mathematics

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प्रश्न

If 4x+ y= a and xy = b, find the value of 2x + y.

बेरीज

उत्तर

xy = b   ….(i)

4x+ y= a      ….(ii)

Now, (2x + y)2 = (2x)2 + 4xy + y2

= 4x2 + y2 + 4xy

= a + 4b    ….[From (i) and (ii)]

⇒ 2x + y = `+- sqrt( a + 4b)`

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पाठ 4: Expansions (Including Substitution) - Exercise 4 (B) [पृष्ठ ६१]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 4 Expansions (Including Substitution)
Exercise 4 (B) | Q 16 | पृष्ठ ६१
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