(2a)^(1/2)=a

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


D( a )

2*a < 0

2*a < 0

2*a < 0

2*a+0 < 0 // - 0

2*a < 0 // : 2

a < 0/2

a < 0

a in <0:+oo)

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

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

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

t_1 = a^(1/2)

2^(1/2)*t_1^1-1*t_1^2 = 0

2^(1/2)*t_1-t_1^2 = 0

DELTA = (2^(1/2))^2-(-1*0*4)

DELTA = 2

DELTA > 0

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

t_1 = (2^(1/2)-2^(1/2))/(-2) or t_1 = 2^(1/2)

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

a^(1/2)-((2^(1/2)-2^(1/2))/(-2)) = 0

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

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

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

a = 0

t_1 = 2^(1/2)

a^(1/2)-2^(1/2) = 0

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

a^(1/2) = 2^(1/2)

a^(1/2) = 2^(1/2) // ^ 2

a = 2

a in { 0, 2 }

See similar equations:

| (2a)^1/2=a | | 414/650*100 | | 4x-5[2x-3]=1-2x | | 5(4x+6)=3(5x-2)-6 | | 12x-5=10+3 | | f=5+-2x | | 2x-6/3=x-3/5 | | f(x)=5x-(2x^2) | | 12r=3 | | k-3=0 | | w+7=21 | | 4y+3=27+8 | | f(x)=2*sin(x)+3*cos(x) | | 4(r+2)=32 | | 3/17x=16 | | 10r^2+10r-60=0 | | 11=26-3d | | 3x(120/3) | | 11=26-9d | | 5k+2=9k-6 | | 18y-8=10 | | 1+2+3+4+45= | | 7-x=30 | | 1111= | | 6*(4-3x)=5*(3-2x)-4*(x-7) | | 5x-35=6x+12 | | 15,17= | | 3s^2-18s=0 | | 3x-7=5*(2-4x) | | 7x+3=3x-9 | | c=5/9*(f-32)=f | | x^3+9x^2+12=0 |

Equations solver categories