Question

i can't understand this que...

Answer 1

Hlo mate.....^_^...
=(x)^2 - cx + (9/4)^2
=(x)^2 - cx + (3/2^2)^2
= c= 9/2

Maybe my answer is right....

Answer 2

$\textbf{Answer :}$

If we can write the given polynomial as a square term, it will have same factors.

Given,

x² - cx + 81/16

= {x² - (2 × c/2 × x) + (c/2)²} - (c/2)² + 81/16

= (x - c/2)² + (- c²/4 + 81/16)

Now, it will be a square term, if

- c²/4 + 81/16 = 0

or, c²/4 = 81/16

or, c² = 81/4

or, c² = (9/2)²

So, c = ± 9/2

Therefore, when c = 9/2 or, c = - 9/2, the given polynomial will have same factors.

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