x-(9-3x)^(1/2)=0

Solution for x-(9-3x)^(1/2)=0 equation:

x-(9-3x)^(1/2)=0

We add all the numbers together, and all the variables

x-(-3x+9)^(+1/2)=0

We multiply all the terms by the denominator


x*2)-(-3x+1+9)^(=0

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

-3x+x*2)-(=0

Wy multiply elements

2x^2-3x=0

a = 2; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·2·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*2}=\frac{6}{4}
=1+1/2
$