Question

$\sqrt{x - 7} + \sqrt{x - 3 } = 0$
find x value​

Answer 1

$\huge\mathcal{Answer}$

$\sqrt{x - 7} + \sqrt{x - 3} = 0 \\ = {x }^{2} - {7}^{2} + {x}^{2} - {3}^{2} = 0 \\ = 2 {x}^{2} - 49 - 9 = 0 \\ = 2 {x}^{2} - 121 = 0 \\ = {2x}^{2} = 121 \\ = {x}^{2} = \frac{121}{2} \\ = x = \sqrt{ \frac{121}{2} } \\ = x = \frac{11}{ \sqrt{2} }$