Question

factorize x²-(a+1/a)x+1​

Answer 1

Step-by-step explanation:

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$\large\star\underline{\underline{\underline\bold\red{Question :- }}}$

Factorise the given equation :-

$→\large{\bold{ {x}^{2} + (a \times \frac{1}{a})x + 1 = 0 }}$

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$\large\star\underline{\underline{\underline\bold\red{Answer→}}}$

$➡ \: \large{\bold{ {x}^{2} + (a \times \frac{1}{a})x + 1 = 0 }}$

$\large{\bold{➡ \: {x}^{2} + ax \times \frac{x}{a} + 1 = 0 }}$

$\large{\bold{➡ \: x(x + a) + \frac{1}{a}(x + a) = 0 }}$

$\large{\bold{➡ \: (x +a)(x + \frac{1}{a} ) = 0 }}$

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$\large\underline{\underline\bold\pink{→ \: Hence, Verified \: ☑}}$

Answer 2

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$\large\star\underline{\underline{\underline\bold\pink{Answer→}}}⋆$

$➡ \: \large{\bold{ {x}^{2} + (a \times \frac{1}{a})x + 1 = 0 }}$

$\large{\bold{➡ \: {x}^{2} + ax \times \frac{x}{a} + 1 = 0 }}$

$\large{\bold{➡ \: x(x + a) + \frac{1}{a}(x + a) = 0 }}$

$\large{\bold{➡ \: (x +a)(x + \frac{1}{a} ) = 0 }}$

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$\large\underline{\underline\bold\pink{→ \: Hence, Verified \: ☑}}$