Sqrt(x-4)+sqrt(x+24)=14sqrt-корень

ОДЗ  х-4>0 U x+24>0⇒x>4 U x>-24⇒x∈(4;≈) x-4+2√(x-4)(x+24) +x +24=196 2√(x-4)(x+24)=176-2x √(x-4)(x+24)=88-x (x-4)(x+24)=(88-x)² x²+24x-4x-96-7744+176x-x²=0 200x=7840 x=39,2