Question

(1/2×-3/5)×10/3=2/3×(2×-3/8)Resuelto todo porfavor​

Answer 1

Respuesta:

eso me salió, espero que este bien

(1/2×-3/5)×10/3=2/3×(2×-3/8)

[tex]\left(\frac{1}{2}x-\frac{3}{5}\right)x\frac{10}{3}=\frac{2}{3}x\left(2x-\frac{3}{8}\right)\\\\\mathrm{Multiplicar\:ambos\:lados\:por\:}3\\\\\left(\frac{1}{2}x-\frac{3}{5}\right)x\frac{10}{3}\times \:3=\frac{2}{3}x\left(2x-\frac{3}{8}\right)\times \:3\\\\\mathrm{Simplificar}\\\\10x\left(\frac{1}{2}x-\frac{3}{5}\right)=2x\left(2x-\frac{3}{8}\right)\\\\5x^2-6x=4x^2-\frac{3}{4}x\\\\\mathrm{Sumar\:}\frac{3}{4}x\mathrm{\:a\:ambos\:lados}\\\\5x^2-6x+\frac{3}{4}x=4x^2-\frac{3}{4}x+\frac{3}{4}x\\\\[/tex]

[tex]\mathrm{Simplificar}\\\\5x^2-\frac{21}{4}x=4x^2\\\\\mathrm{Restar\:}4x^2\mathrm{\:de\:ambos\:lados}\\\\5x^2-\frac{21}{4}x-4x^2=4x^2-4x^2\\\\\mathrm{Simplificar}\\\\x^2-\frac{21x}{4}=0\\\\x_{1,\:2}=\frac{-\left(-\frac{21}{4}\right)\pm \sqrt{\left(-\frac{21}{4}\right)^2-4\times \:1\times \:0}}{2\times \:1}\\\\x_{1,\:2}=\frac{-\left(-\frac{21}{4}\right)\pm \frac{21}{4}}{2\times \:1}\\\\Separar\:las\:soluciones\\\\[/tex]

[tex]x_1=\frac{-\left(-\frac{21}{4}\right)+\frac{21}{4}}{2\times \:1},\:x_2=\frac{-\left(-\frac{21}{4}\right)-\frac{21}{4}}{2\times \:1}\\\\resultado\\\\x=\frac{21}{4},\:x=0[/tex]

Answer 2

Respuesta:

En realidad dame puntos XD