ریشه معادله

[sara.salary]

چرا معادله زیر ریشه ندارد؟




x+√(x-1)+…+√(x-10)=10√

[navid_fo]

چرا معادله زیر ریشه ندارد؟




x+√(x-1)+…+√(x-10)=10√

جواب دارد


65/11


http://www.mathportal.org/calculators/solving-equations/rational-equation-solver.php?val1=x^(1/2)plus(x-1)^(1/2)plus(x-2)^(1/2)plus(x-3)^(1/2)plus(x-4)^(1/2)plus(x-5)^(1/2)plus(x-6)^(1/2)plus(x-7)^(1/2)plus(x-8)^(1/2)plus(x-9)^(1/2)plus(x-10)^(1/2)&val2=10&val3=%7Bx%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7 Dplus%7B%5Cleft(x-1%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-2%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-3%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-4%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-5%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-6%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-7%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-8%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-9%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7Dplus%7B%5 Cleft(x-10%5Cright)%7D^%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D10