Algebra #1

Algebra Level 1

If 2x = $x^{3}$ and $\sqrt{x}$ + $\sqrt{x}$ ≠ 0 , find $x^2$ .

2 solutions

Ubaidullah Khan
Jun 30, 2015

This can be an alternative answer..........

i like the thinking there. so nice

Micah Mzumara - 5 years, 11 months ago

Noel Lo
May 27, 2015

$2x = x^3$

$x^3-2x = 0$

$x(x^2 - 2) = 0$

$x = 0$ (rej. as $\sqrt{x} + \sqrt{x}$ is non-zero) or $x^2 = 2$

so $(\sqrt{x^2})^2 = \sqrt{2}^2 = \boxed{2}$ .

Nice solution!!!

Ashwin Padaki - 6 years ago

i found the same answer using the same way

Micah Mzumara - 5 years, 11 months ago

realy nice solution

Archis Hota - 5 years, 9 months ago