Question

(x-3)^=5
give your solution correct to 3 significant figures

Answer 1

To solve the equation (x-3)^2 = 5, isolate x by taking the square root of both sides.

Step-by-step explanation:

To solve the equation (x-3)2=5, we need to isolate x by taking the square root of both sides of the equation.

Starting with (x-3)2=5, we can take the square root of both sides:

√[(x-3)2] = √5

Next, we simplify the square root of a square by removing the exponent:

x-3 = ±√5

Finally, we solve for x by adding 3 to both sides of the equation:

x = 3 ±√5

Therefore, the solutions to the equation (x-3)2=5 are x = 3 ±√5, which is approximately x = 3 ± 2.236.