if A and B are the roots of ax²+bx²+c=0 then the value of a²+b²+2ab is
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Correct Question :-
If a and b are the roots of ax²+bx²+c=0 then the value of a²+b²+2ab is .
Note :- The incorrect part is in bold .
Solution :-
Given ,
- a , b are the roots of ax² + bx + c = 0
- Value of a² + b² + 2ab = ?
As we know that , a² + b² + 2ab = ( a + b )²
☞ ( a + b )²
Since a , b are the roots of the given equation . Sum of roots = - (coefficient of x)/ coefficient of x² = - b/a
☞ ( - b/a )²
☞ ( - b)²/a²
Square of a negative number will be the same number with positive sign .
☞ b²/a²
Hence , a² + b² + 2ab = b²/a²
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