Solve rad (x-2)^2=4

Evaluate

r a d (x - 2)^{2} = 4

Divide both sides

\frac{r a d ( x - 2 ) ^{2}}{r a d} = \frac{4}{r a d}

Divide the numbers

(x - 2)^{2} = \frac{4}{r a d}

Divide the numbers

(x - 2)^{2} = \frac{4}{a r d}

Take the root of both sides of the equation and remember to use both positive and negative roots

x - 2 = \pm \frac{4}{a r d}

Simplify the expression

More Steps

x - 2 = \pm \frac{2 a r d}{∣ a r d ∣}

Separate the equation into 2 possible cases

x - 2 = \frac{2 a r d}{∣ a r d ∣} x - 2 = - \frac{2 a r d}{∣ a r d ∣}

Calculate

More Steps

x = \frac{2 a r d + 2 ∣ a r d ∣}{∣ a r d ∣} x - 2 = - \frac{2 a r d}{∣ a r d ∣}

Solution

More Steps

x = \frac{2 a r d + 2 ∣ a r d ∣}{∣ a r d ∣} x = \frac{- 2 a r d + 2 ∣ a r d ∣}{∣ a r d ∣}

Solve the equation