Sqrt (x-4) + sqrt (x+24) = 14

sqrt-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