Question

4x (x + 6) - x2 = 5x2

Answer 1

Resolução:


4x² + 24x - x² = 5x²
4x² - x² - 5x² = -24x
-2x² = -24x
Dividindo unilateralmente:

-2x = - 24
x = 24/2 = 12

Answer 2

Oie, Td Bom?!

>>> Resolvendo a equação.

$4x \: . \: (x + 6) - x {}^{2} = 5x {}^{2}$

$4x {}^{2} + 24x - x {}^{2} = 5x {}^{2}$

$3x {}^{2} + 24x = 5x {}^{2}$

$3x {}^{2} + 24x - 5x {}^{2} = 0$

$- 2x {}^{2} + 24x = 0$

$- 2x \: . \: (x - 12) = 0$

$x \: . \: (x - 2) = 0$

$x = 0 \\ x - 12 = 0$

$x = 0 \\ x = 12$

S [ $x_{1} = 0 \: , \: x_{2} = 12$ ]

Att. Makaveli1996