The possible value of -a-c- if 83a2-2b2 is maximum- is given by

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Product of Two Consecutive Even or Odd Natural Numbers

The possible ...

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The possible value of $| a + c |$ , if $\frac{8}{3} a^{2} + 2 b^{2}$ is maximum, is given by

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f (x) = a x^{2} + b x + c, a, b, c \in R .

| f (x) | \leq 1, | x | \leq 1

| a + b |

\frac{8}{3} a^{2} + 2 b^{2}

f (x) = a x^{2} + b x + c, a, b, c \in R .

| f (x) | \leq 1, | x | \leq 1

\frac{8}{3} a^{2} + 2 b^{2}

(3 a^{2} - 8 a b - 2 b^{2}) - (3 a^{2} - 4 a b + 6 b^{2}) = - 4 a b - 8 b^{2}

3 a^{2} - 4 a b + 6 b^{2} - (3 a^{2} - 8 a b - 2 b^{2})

a, b, c

a b c^{2} x^{2} + (3 a^{2} + b^{2}) c x - 6 a^{2} - a b + 2 b^{2} = 0

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