Solve (x-20)^2=38000

$$( x - 20 ) ^ { 2 } = 38000$$

Solve for x

$$x=20\sqrt{95}+20\approx 214.935886896$$

$$x=20-20\sqrt{95}\approx -174.935886896$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x-20=20\sqrt{95} x-20=-20\sqrt{95}$$

Add 20 to both sides of the equation.

$$x-20-\left(-20\right)=20\sqrt{95}-\left(-20\right) x-20-\left(-20\right)=-20\sqrt{95}-\left(-20\right)$$

Subtracting -20 from itself leaves 0.

$$x=20\sqrt{95}-\left(-20\right) x=-20\sqrt{95}-\left(-20\right)$$

Subtract -20 from 20\sqrt{95}.

$$x=20\sqrt{95}+20$$

Subtract -20 from -20\sqrt{95}.

$$x=20-20\sqrt{95}$$

The equation is now solved.

$$x=20\sqrt{95}+20 x=20-20\sqrt{95}$$