gatita70

07.10.2020 •

Mathematics

Which of the following is irrational.
1)1.232323...
2)0.5
3)2.1567...
4)3.33

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Ответ:

neharikakalasapkkam

04.02.2021

Mathematics

Given:

The expression is

x^4-10x^2+9

To find:

The factors of given expression.

Solution:

We have,

x^4-10x^2+9

(x^2)^2-10x^2+9

Put x^2=t ,

=t^2-10t+9

Splitting the middle term, we get

=t^2-9t-t+9

=t(t-9)-1(t-9)

=(t-9)(t-1)

Put t=x^2t ,

=(x^2-9)(x^2-1)

=(x^2-3^2)(x^2-1^2)

=(x-3)(x+3)(x-1)(x+1) $[\because a^2-b^2=(a-b)(a+b)]$

Therefore, the factored form of given expression is (x-3)(x+3)(x-1)(x+1) .

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Which of the following is irrational. 1)1.232323... 2)0.5 3)2.1567... 4)3.33