Question

Resolver a equação √2x+5 + √4x-4 = 11.

Answer 1

$\sqrt{2x+5} + \sqrt{4x-4} =11 \\ \sqrt{2x+5}=11-\sqrt{4x-4} \\ (\sqrt{2x+5})^2=(11-\sqrt{4x-4})^2 \\ 2x+5=121-22\sqrt{4x-4}+4x-4 \\ -2x+9-121=-22\sqrt{4x-4} \\ -2x-112=-22\sqrt{4x-4} \\ -2x=-22\sqrt{4x-4} +112 \\ 2x=22\sqrt{4x-4}-112 \\ x= \frac{22\sqrt{4x-4}-112}{2} \\ x=11\sqrt{4x-4}-56$