How to solve this?

$\displaystyle f(x)=\prod_{n=1}^{8}(x-n) \quad, \quad g(x)=\prod_{n=1}^{8}(x^{2}-n) \quad, \quad m(x)=\prod_{n=1}^{8}(x^{3}-n)$

We are given the three functions as described above, find least real value of $x$ such that $f(x)+g(x)+m(x)=11223344$ . Please help me out to solve this.

#Algebra #Functions #Equations #DiophantineEquations #Equatioms

Easy Math Editor

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Comments

Are you trying @Parth Lohomi 's question? These Are exactly the same values.

siddharth bhatt - 5 years, 9 months ago

Hi , from where did you get this problem?

Nihar Mahajan - 5 years, 9 months ago

Saw a similar type on brilt itself.

Shivam Jadhav - 5 years, 9 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$