744.sagews

4.  X^2-8X+3=0

8+ (sqrt(8^2-4*1*3))/(2*1)

sqrt(13) + 8

8- (sqrt(8^2-4*1*3))/(2*1)

-sqrt(13) + 8

X1= sqrt(13) + 8

X2= - sqrt(13) + 8

6.9X^2-6X+10=0

6+ (sqrt(6^2-4*9*10))/(2*6)

3/2*I + 6

3/2*I + 6 no es solución valida

12 . sqrt(X+2) - sqrt(X+1)=-1

var ('x')

x

sqrt(x+2)^2-sqrt(x + 1)^2 + (sqrt(x+1)*sqrt(x+2))^2-sqrt(x+1)^2

(x + 1)*(x + 2) - x

(sqrt(x+2) - sqrt(x+1)*sqrt(x+2) - sqrt(x+1))/ (sqrt(x+2) - sqrt(x+1))

(sqrt(x + 1)*sqrt(x + 2) + sqrt(x + 1) - sqrt(x + 2))/(sqrt(x + 1) - sqrt(x + 2))

(x*x+x*2)+(1*x+1*2) -x

x^2 + 2*x + 2

x*(-1^2+x)+2

(x - 1)*x + 2

x*(1 - 1)*1 + 2

2

X = 2

14.  sqrt(X+2) + sqrt(X+1)=-5

var ('x')

x

( sqrt(2*x+2) )^2

2*x + 2

( sqrt(x+2) )^2 +5

x + 7

5-7

12

2*x-x

x

X=2