SOLVE-If 2 a - b - 1 1 and a b - 2 4- find the value of 4 a 2- b 2

Given that : 2a + b = 11 and ab = 24 Now , ( 2a + b ) = 11 Squaring both sides , we get ( 2a + b ) ² = 121 = gt; 4a² + b² + 4ab = 121 putting the va ...

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Standard X

Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

SOLVE:If 2 a ...

Question

SOLVE:

If 2a+b=11 and ab=24 , find the value of 4a²+b².

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Solution

Given that :-
2a + b = 11
and
ab = 24

Now ,
( 2a + b ) = 11

Squaring both sides , we get
( 2a + b ) ² = 121
=> 4a² + b² + 4ab = 121

putting the value of ab here , we get
=> 4a² + b² + 4 * 24 = 121
=> 4a² + b² + 96 = 121
=> 4a² + b² = 121 - 96
=> 4a² + b² = 25

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SOLVE: If 2a+b=11 and ab=24 , find the value of 4a²+b².

Given that :- 2a + b = 11 and ab = 24 Now , ( 2a + b ) = 11 Squaring both sides , we get ( 2a + b ) ² = 121 => 4a² + b² + 4ab = 121 putting the value of ab here , we get => 4a² + b² + 4 * 24 = 121 => 4a² + b² + 96 = 121 => 4a² + b² = 121 - 96 => 4a² + b² = 25

SOLVE:

If 2a+b=11 and ab=24 , find the value of 4a²+b².

Given that :-
2a + b = 11
and
ab = 24

Now ,
( 2a + b ) = 11

Squaring both sides , we get
( 2a + b ) ² = 121
=> 4a² + b² + 4ab = 121

putting the value of ab here , we get
=> 4a² + b² + 4 * 24 = 121
=> 4a² + b² + 96 = 121
=> 4a² + b² = 121 - 96
=> 4a² + b² = 25