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

Simple and best practice solution for 2x-1=x^(1/2) 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 2x-1=x^(1/2) equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

2*x-1 = x^(1/2) // - x^(1/2)

2*x-x^(1/2)-1 = 0

t_1 = x^(1/2)

2*t_1^2-1*t_1^1-1 = 0

2*t_1^2-t_1-1 = 0

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

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)+1)/(2*2) or t_1 = (1-9^(1/2))/(2*2)

t_1 = 1 or t_1 = -1/2

t_1 = -1/2

x^(1/2)+1/2 = 0

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

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

( -1/2 < 0 i 1/2 in (0:1) ) => x należy do O

t_1 = 1

x^(1/2)-1 = 0

1*x^(1/2) = 1 // : 1

x^(1/2) = 1

x^(1/2) = 1 // ^ 2

x = 1

x = 1

See similar equations:

| 6/x-3=1.6 | | =3.14(3x^2y)(2xy) | | 158.25=(x+2.20+7.80) | | b/0.2=-2.6 | | 158.25=2.20(x+7.80) | | 158.25=7.80(x+2.20) | | 32=10X | | 4m+6R=212 | | 9x-5=5x+21 | | -2(x-3)+3x=10 | | 5(2x+6)=-(x+3) | | 2loge(2x^2)=1 | | log4/log23 | | 8.8(x-1.5)=-17.6 | | 13x-16=4x+65 | | -9.5f+8=-3.52-10.4f | | 16/m=2 | | 8.8(x-1.5)=17.6 | | 5/2x-8=-13 | | 16x-12=3x+79 | | -4(5t-5)+8t=5t-4 | | 8.8(x+1.5)=17.6 | | 4(3x-1)-6=-34 | | 2x-3(3x-(-4))=-9 | | x^2+y^2+12x+28=0 | | 10.8q-17.7=11.8q | | 15x-6=4x-116 | | 3.75=0.75(b-3) | | 2ln(2x^2)=1 | | (x^3-3xy^2)dx=(y^3-3x^2y)dy | | 5x+34=x+6 | | F(x)=4(.5) |

Equations solver categories