Question

how much is a + 4b -6c is greater than 4a -3b -6c -7c​

Answer 1

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how much is a + 4b -6c is greater than 4a -3b -6c -7c?

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Explanation:

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(4a+c) 2 ⩽4b2

⇒4a+c⩽±2b

⇒4a±2b+c⩽0

∴4a+2b+c⩽0

or , 4a−2b+c⩽0

let f(x)=ax^2+bx+c

∴f(2)=4a+2b+c≤0

f(−2)=4a−2b+c≤0

Case 1 :- a>0

Case 2 :- a<0

∴ Roots should lie between (−2,2)

solution.

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