3x^(1/2)+10=x+4

Simple and best practice solution for 3x^(1/2)+10=x+4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^(1/2)+10=x+4 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

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

3*x^(1/2)-x-4+10 = 0

3*x^(1/2)-x+6 = 0

t_1 = x^(1/2)

3*t_1^1-1*t_1^2+6 = 0

3*t_1-t_1^2+6 = 0

DELTA = 3^2-(-1*4*6)

DELTA = 33

DELTA > 0

t_1 = (33^(1/2)-3)/(-1*2) or t_1 = (-33^(1/2)-3)/(-1*2)

t_1 = (33^(1/2)-3)/(-2) or t_1 = (33^(1/2)+3)/2

t_1 = (33^(1/2)-3)/(-2)

x^(1/2)-((33^(1/2)-3)/(-2)) = 0

1*x^(1/2) = (33^(1/2)-3)/(-2) // : 1

x^(1/2) = (33^(1/2)-3)/(-2)

( (33^(1/2)-3)/(-2) < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = (33^(1/2)+3)/2

x^(1/2)-((33^(1/2)+3)/2) = 0

1*x^(1/2) = (33^(1/2)+3)/2 // : 1

x^(1/2) = (33^(1/2)+3)/2

x^(1/2) = (33^(1/2)+3)/2 // ^ 2

x = ((33^(1/2)+3)^2)/4

x = ((33^(1/2)+3)^2)/4

See similar equations:

| 2x-60=102 | | t^2+6t=9 | | 6a^2+11a+4= | | 3/5+5/6 | | .5x+2x-8-4=3 | | 3x-2.8=2x+4.2 | | 2/6*0.331+9/4*0.403 | | (6+2X)(10+2X)-60=36 | | -6(4x+3)=30 | | 12x-(1500/x^2) | | 7y=2y | | 12x-1500/x^2 | | -33y-162y=-12+162-63 | | 12x-123456=54x | | y/4-y/2+1=0 | | (9y+8y-2)-(9y+5y-1)=14 | | 12c=8616 | | 1/2(5x-5)=7 | | 24x^2+x-3= | | 3+4(5x-6)=21 | | 0.9c=1.89 | | -x^4+64x^2=0 | | 2ln(6x)=8 | | -3(x-7)=5(x+6)-10 | | 7x^2-114x-25=0 | | 14y=7 | | -100-54y=-45+150 | | 20.4=12m | | 3x^2-64y+380=0 | | 2xy+x^2+9=0 | | 64=4g | | 12x+5-2x+3=-32 |

Equations solver categories