Question

1.x2+x=10
2.-6x+13=8
3.16x=32​

Answer 1

Respuesta:

1. x1 = (- sqrt(41)-1)/2 ; x2 = (sqrt(41)-1)/2 2. x = (5/6) 3. x = 2

Explicación paso a paso:

En la primera ecuación completamos cuadrados

x^2 + x = 10

x^2 + x + (1/4) - (1/4) = 10

(x + (1/2) )^2 - (1/4) = 10

(x + (1/2) )^2 = (40/4) + (1/4)

(x + (1/2) )^2 = (41/4)

x + (1/2) = +- sqrt((41/4))

x = +- sqrt((41/4)) - (1/2)

x = +- (sqrt(41) - 1)/2

En la segunda despejamos a x

-6x + 13 = 8

-6x = -5

x = (5/6)

En la tercera despejamos a x nuevamente

16x = 32

x = 32/16

x = 2