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Hoà Vũasked a question

12/01/2018 at 21:15

Let 3 be real numbers A, B, C such that the equation:\(AX^2+BX+C=0\) has two solutions \(\left[0;1\right]\). Find the largest value of the expression: \(P=\dfrac{\left(A-B\right)\left(2A-B\right)}{A\left(A-B+C\right)}\)

Hoà Vũanswered a question

12/01/2018 at 21:05

Điều kiện xác định: \(H\ne-1\)

\(\dfrac{-4,9H^2+15,2H+20,1}{H+1}\)

\(=\dfrac{-4,9H^2-4,9H+15,2H+20,1}{H+1}\)

\(=\dfrac{-4,9H\left(H+1\right)+15,2\left(H+1\right)}{H+1}\)

\(=\dfrac{\left(H+1\right)\left(15,2-4,9H\right)}{H+1}\)

\(=15,2-4,9H\)

Hoà Vũanswered a question

12/01/2018 at 21:01

Điều kiện xác định: \(H\ne-1\)\(\dfrac{-4,9H^2+15,2H+20,1}{H+1}=\dfrac{-4,9H^2-4,9H+20,1H+20,1}{H+1}=\dfrac{-4,9H\left(H+1\right)+20,1\left(H+1\right)}{H+1}=\dfrac{\left(H+1\right)\left(20,1-4,9H\right)}{H+1}=20,1-4,9H\)