How do you solve $9 x^{2} = x^{3}$ $9x^2 = x^3$ ?

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How do you solve $9 x^{2} = x^{3}$ $9x^2 = x^3$ ?

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Answer 1 · 2016-05-18T04:51:04

$x = 0$ $x=0$
$x = 9$ $x=9$

Explanation:

Given -

$9 x^{2} = x^{3}$ $9x^2=x^3$
$9 x^{2} - x^{3} = 0$ $9x^2-x^3=0$
$x^{2} (9 - x) = 0$ $x^2(9-x)=0$
$x^{2} = 0$ $x^2=0$
$x = 0$ $x=0$
$9 - x = 0$ $9-x=0$
$x = 9$ $x=9$

Answer 2 · 2016-05-19T03:06:30

$\Rightarrow x = 0 or 9$ $=> x = 0 or 9$

Explanation:

While most people would straightaway cancel the $x^{2}$ $x^2$ on both sides .I would find that rather foolish.

This is an important concept to have not to cancel x terms on either side of the equation but to bring everything over to one side

$9 x^{2} = x^{3}$ $9x^2 = x^3$

$9 x^{2} - x^{3} = 0$ $9x^2 -x^3 = 0$

$x^{2} (9 - x) = 0$ $x^2(9 -x) = 0$

$\Rightarrow x^{2} = 0 or 9 - x = 0$ $=> x^2 = 0 or 9-x = 0$

$\Rightarrow x = \pm 0 or x = 9$ $=> x = +-0 or x = 9$

So we get our 3 solutions out of which 2 are not distinct roots

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How do you solve $9 x^{2} = x^{3}$ $9x^2 = x^3$ ?

2 Answers

Explanation:

$\Rightarrow x = 0 or 9$ $=> x = 0 or 9$

Explanation:

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How do you solve 9x2=x39x^2 = x^3 ?

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Explanation:

⇒x=0or9=> x = 0 or 9

Explanation:

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How do you solve $9 x^{2} = x^{3}$ $9x^2 = x^3$ ?

$\Rightarrow x = 0 or 9$ $=> x = 0 or 9$