Question

(16√3)^2=х^2+(8√3)^2

Answer 1

(16√3)²-(8√3)²=x²
768-192=x²
x²=576
x1= 24
x2= -24

Answer 2

Let's solve the equation step by step.

(16√3)^2 = х^2 + (8√3)^2

First, let's simplify the equation:

(16√3)^2 = 16^2 * (√3)^2 = 256 * 3 = 768

(8√3)^2 = 8^2 * (√3)^2 = 64 * 3 = 192

Now, substitute these values back into the equation:

768 = х^2 + 192

Next, subtract 192 from both sides:

768 - 192 = х^2 576 = х^2

Finally, take the square root of both sides:

√576 = √(х^2) 24 = |х|

Therefore, the value of х could be either 24 or -24, as the square root of a number is positive or negative.

So, the possible solutions for х are 24 and -24.