Math, asked by alokbhattacharya735, 1 year ago

3x+2x=5x^2
Errors?
Correct?

shadowsabers03: If x = 0 and x = 1, it'll be right.

Answers

Answered by abcdt

3x+2x=5x

5x is not equal to 5x^2

correction - 3x+2x=5x

shadowsabers03: But if x = 0 and x = 1, it'll be correct.

abcdt: Yes you got it right

abcdt: the value of x was not given

shadowsabers03: Yes. So x can have many values.

shadowsabers03: Real and unreal too.

shadowsabers03: But the equation will be correct when x becomes 0 and 1.

shadowsabers03: We can prove it algebraically too!

abcdt: U r grt i will follow u u also folw me.

shadowsabers03: Okay.

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Answered by shadowsabers03

$3x+2x=5x^2 \\ \\ 5x=5x^2 \\ \\ x=x^2 \\ \\ x^2-x=0 \\ \\ x(x-1)=0 \\ \\ \\ \therefore\ x=0 \ \ \ ; \ \ \ x=1$

So if x = 0 or x = 1, the equation will be correct.

But x is other than 0 and 1, the equation will be wrong.

Nice question this is.

Thank you. Have a nice day. :-)

#adithyasajeevan

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