Question

Помогите решить

 

sqrt(2x-33)+sqrt(x-21)=2 sqrt(x-17)

Answer 1

$sqrt{2x-33}+sqrt{x-21}=2 sqrt{x-17}\(sqrt{2x-33}+sqrt{x-21})^2=(2 sqrt{x-17})^2\2x-33+x-21+2sqrt{2x-33}*sqrt{x-21}=4x-68\(2sqrt{2x-33}*sqrt{x-21})^2=(x-14)^2\4(2x-33)*(x-21)=x^2+196-28x\7x^2-272x+2576=0\x_1=-frac{4}{7}(sqrt{29}-34)-HE pi ogxoguT\x_2=frac{4}{7}(sqrt{29}+34)\OTBET:x=frac{4}{7}(sqrt{29}+34)$