f(x)=ax^2+bx+c.....if. f(1)=f(-1). than b equal to
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Answer : b = 0
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SOLUTION :
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Given that :
f(x) = ax²+bc+c
On putting x = 1 then,
f(1) = a(1)²+b(1)+c
=> f(1) = a+b+c
Now, on putting x = -1
f(-1) = a(-1)²+b(-1)+c
=> f(-1) = a-b+c
As given that in questions :
f(1) = f(-1)
According to the question :
a+b+c = a-b+c
=> 2b = 0
=> b = 0
So, the value of b will be 0
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