Question

Решите уравнение (x-5)√(9-x²)=0

Answer 1

$(x-5)sqrt{9-x^2}=0; ,\\ODZ:; ; 9-x^2 geq 0; ,; (3-x)(3+x) geq 0; ,; (x-3)(x+3) leq 0; to \\xin [, -3,3, ]\\a); ; x-5=0; ,; x=5notin ODZ\\b); ; 9-x^2=0; ; x_1=-3; ,; x_2=3\\Otvet:; ; x=-3,; x=3.$