Question

if a= 2,b= 3 and c=5 if the value of
$12a^{2} - 3b^{2}+ 5c^{2}$
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Answer 1

Answer:

To find (a + b + c)/c we have to put values of all other variables in terms of another one variable. What I mean by saying this is that we have to either put value value of

a,b in terms of c, or

b,c in terms of a, or

a,c in terms of b.

Let's say I'll put value of a, b in terms of c,

Therefore use eqn (2),

b = (3*c)/5 (4)

And use eqn (3),

a = (2*c)/5 (5)

Put values of (4) and (5) in the expression whose value we have to find,

[(2*c)/5 + (3*c)/5 + c ]/c

Take out c common from numerator

c*[(2/5) +(3/5) + 1]/c

c will cancel out from numerator and denominator,

[(2/5) + (3/5) + 1]/1

now (2/5) + (3/5) = 1

[1 + 1]/1

2/1

Hence the value of expression comes out to be 2.

I hope you have got your answer and understood it.