Question

Ecuaciones
1) 2×2-10×=0
2) 25×2+5×=0
3) 10×2-40×=0
4) x2+5×=0
5) 9×3-3×=0​

Answer 1

1)

$2 {x }^{2} - 10x = 0$

Procedimiento :

$2 {x}^{2} - 10x = 0$

$x (2x - 10) = 0$

$x = 0$

$2x - 10 = 0 - - > x = \frac{10}{2} = 5$

Solucion 1 - - > x = 0

Solucion 2 - - - >x = 5

2)

$25 {x}^{2} + 5x = 0$

Procedimiento :

$25 {x}^{2} + 5x = 0$

$x(25x + 5) = 0$

$x = 0$

$25x + 5 = 0 - > x = - \frac{5}{25} = - \frac{1}{5}$

Solución 1 - - - >X = 0

Solución 2 - - - >X = - 1/5

3)

$10 {x}^{2} - 40x = 0$

Procedimiento :

$10 {x}^{2} - 40x = 0$

$x(10x - 40) = 0$

$x = 0$

$10x - 40 = 0 - - > x = \frac{40}{10} = 4$

solución 1 - - - >X =0

Solución 2 - - - >X = 4

4)

${x}^{2} + 5x = 0$

Procedimiento :

${x}^{2} + 5x = 0$

$x(x + 5) = 0$

$x = 0$

$x + 5 = 0 - - > x = - 5$

Solución - - - >x = 0

Solución 2 - - - >x = - 5

5)

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

Procedimiento :

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

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

$x = 0$

${x}^{2} - 3 = 0 - - > x = \sqrt{3 } = \binom{ + }{ - } \sqrt{3}$

Solución - - - > x = 0

Soluxción - - - >x = $\binom{ + }{ - } \sqrt{3}$