(x)2 + (146)2 = (232)2 - (52)2 - 5468, Find 'x'.

Correct option is C

Given
Equation: $$x^2 + (146)^2 = (232)^2 - (52)^2 - 5468$$​​

Formula Used
​$$a^2 - b^2 = (a - b)(a + b)$$​​

Solution
​$$x^2 + 21316 = (232 - 52)(232 + 52) - 5468\\\ \\x^2 + 21316 = (180)(284) - 5468\\x^2 + 21316 = 51120 - 5468\\x^2 + 21316 = 45652\\x^2 = 45652 - 21316\\x^2 = 24336\\x = \sqrt{24336}\\x = 156\\$$​​

Final Answer
So the correct answer is (c)