Question

2/3x-5/x=7/10-2/2x+1


ayuda porfa es escuación

Answer 1

Respuesta:

:)

Explicación paso a paso:

(2/3)x - 5/x = 7/10 - (2/2)x + 1

2x/3 - 5/x = 7/10 - x + 1

2x/3 - 7/10 + x - 1 = 5/x

[2x/3 - 7/10 + x - 1](x) = 5

2x²/3 - 7x/10 + x² - x = 5

20x²/30 - 21x/30 + 30x²/30 - 30x/30 = 5

20x² - 21x + 30x² - 30x = 5 (30)

50x² - 51x = 150

50x² - 51x - 150 = 0

a = 50

b = -51

c = -150

{-b ± √[(b)²-4ac]} / 2a

{-(-51) ± √[(-51)²-4(50)(-150)]} / 2(50)

{51 ± √[2601 + 30,000]} / 100

{51 ± √[32,601]} / 100

{51 ± 180.56} / 100

x1 = {51 + 180.56} / 100

x1 = 231.56 / 100

x1 = 2.3156

x2 = {51 - 180.56} / 100

x2 = -129.56 / 100

x2 = -1.2956

*comprobación*

(2/3)x - 5/x = 7/10 - (2/2)x + 1

(2/3)(2.3156) - 5/(2.3156) = 7/10 - (2/2)(2.3156) + 1

4.6312/3 - 5/2.3156 = 7/10 - 2.3156 + 1

1.5437 - 2.1592 = 0.70 - 2.3156 + 1

-0.6155 ≈ -0.6156

La respuesta es correcta