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If sqrt(4x^(4) + 12x^(3) + 25x^(2) + 24x...

If `sqrt(4x^(4) + 12x^(3) + 25x^(2) + 24x + 16) = ax^(2) + bx + c`, then which of the following is true ?

A

`2b = a - c`

B

`2a = b +c`

C

`2b = a + c`

D

`2b = c -a`

Text Solution

Verified by Experts

The correct Answer is:
C
(i) Find the square root and equate it to `ax^(2) + bx + c`
(ii) Square on both sides and obtain the value of a, b and c
(iii) Verify the relation between a, b and c
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