Question

x square -(a+1/a)x+1​

Answer 1

Answer:

The factors are (x-a)(x-$\frac{1}{a}$)

Step-by-step explanation:

Factorize the following

x^2-(a+$\frac{1}{a}$)x+1

I have applied middle term factorization method to factorize the given polynomial

Given:

$\bf\:x^2$-(a+$\frac{1}{a}$)x+1

$\bf\:x^2$-(a+$\frac{1}{a}$)x+1

=$\bf\:x^2$--ax-$\frac{1}{a}$x+1

=x(x-a)-$\frac{1}{a}$(x-a)

=(x-$\frac{1}{a}$)(x-a)

$\implies\bf\:x^2$-(a+$\frac{1}{a}$)x+1=(x-$\frac{1}{a}$)(x-a)

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Answer 2

Question Says that

${x}^{2} = (\frac{a + 1}{a} )(x + 1)$

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