To solve this equation, we can first simplify each side:
On the left side:23^2 - (2x)^2= 529 - 4x^2
On the right side:33^2 - (3x)^2= 1089 - 9x^2
So the equation becomes:529 - 4x^2 = 1089 - 9x^2
Now, we can combine like terms and solve for x:529 + 9x^2 = 1089 - 4x^29x^2 + 4x^2 = 1089 - 52913x^2 = 560x^2 = 560/13x^2 = 43.0769
Therefore, x is equal to approximately ±6.56.
To solve this equation, we can first simplify each side:
On the left side:
23^2 - (2x)^2
= 529 - 4x^2
On the right side:
33^2 - (3x)^2
= 1089 - 9x^2
So the equation becomes:
529 - 4x^2 = 1089 - 9x^2
Now, we can combine like terms and solve for x:
529 + 9x^2 = 1089 - 4x^2
9x^2 + 4x^2 = 1089 - 529
13x^2 = 560
x^2 = 560/13
x^2 = 43.0769
Therefore, x is equal to approximately ±6.56.