Suppose a- b- c are positive integers such that 2a -4b -8c-328 Then -2 b-3 c-a b c is equal to A -1-2- p 1-5B- 5-6C- 5-8D- 17-24

The correct option is D 2^3 × 41 =2^a[1+2^2b a+2^3c a] a=3 2^3c a+2^2b a=2^3 × 5 3c a =3 2b 3c =2 a=3, c =2, b =4 a+2b+3c/abc=17/24 ...

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Range of Quadratic Expression

Suppose a, b,...

Question

Suppose a,b,c are positive integers such that $2^{a} + 4^{b} + 8^{c} = 328$ Then $\frac{α + 2 b + 3 c}{a b c}$ is equal to

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a, b, c

2^{a} + 4^{b} + 8^{c} = 328

\frac{a + 2 b + 3 c}{a b c}

a, b, c

2^{a} + 4^{b} + 8^{c} = 328.

\frac{a + 2 b + 3 c}{a b c}

a + b + c = 0

a^{2} + b^{2} + c^{2} = 1

(3 a + 5 b - 8 c)^{2} + (- 8 a + 3 b + 5 c)^{2} + (5 a - 8 b + 3 c)^{2}

P (x) = a x^{2} + b x + c

a, b, c

P (x) = 0

α

β

α + β + α β

2 \to a + 3 \to b - \to c, \to a - 2 \to b + 3 \to c, 3 \to a + 4 \to b - 2 \to c a n d \to a - 6 \to b + 6 \to c

\to a, \to b a n d \to c

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