Question

what is value of descriment if a = 2b = 5c = 7 ?
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Answer 1

Step-by-step explanation:

Given :-

a = 2b = 5c = 7

To find :-

Find the value of the discriminant ?

Solution :-

Given that

a = 2b = 5c = 7

On taking a = 7 -----------(1)

and

On taking 2b = 7

=> b = 7/2 ------------(2)

On taking 5c = 7

=> c = 7/5 ---------(3)

Now,

We know that

The discriminant = b²-4ac

On substituting these values in the above formula

=> (7/2)²-4(7)(7/5)

=> (49/4) - [(4×7×7)/5]

=> (49/4) - (196/5)

LCM of 4 and 5 = 20

=> [(49×5)-(196×4)]/20

=> (245-784)/20

=> -539/20

Therefore, b²-4ac = -539/20

Answer:-

The value of the discriminant for the given problem is -539/20

Used formulae:-

→ The discriminant is b²-4ac