SOLUTION: sqrt(x^2-2)/sqrt(7 x-25)= sqrt(2) I need help its me for Find all real solutions of the equation. (If there are extra answer boxes, enter NONE in the last boxes.) ive tried every

Algebra ->  Algebra  -> Radicals -> SOLUTION: sqrt(x^2-2)/sqrt(7 x-25)= sqrt(2) I need help its me for Find all real solutions of the equation. (If there are extra answer boxes, enter NONE in the last boxes.) ive tried every      Log On

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Radicals Question 321244: sqrt(x^2-2)/sqrt(7 x-25)= sqrt(2) I need help its me for Find all real solutions of the equation. (If there are extra answer boxes, enter NONE in the last boxes.) ive tried everything but i still do not understand can you send me how you guys performed this operation i'd appreciate it thanksAnswer by ankor@dixie-net.com(15647)   (Show Source): You can put this solution on YOUR website!= this can be written under a single radical on the left = Now we have a single radical on each side, square both sides and we're rid of em = 2 Multiply both sides by (7x-25), and you have : x^2 - 2 = 2(7x - 25) : x^2 - 2 = 14x - 50 arrange as a quadratic equation on the left x^2 - 14x - 2 + 50 = 0 : x^2 - 14x + 48 = 0 Easily factors to (x-8)(x-6) = 0 Two solutions x = 8 and x = 6 : Check both these solutions in the original problem using a calc x=8 = = 1.414 = 1.414; confirms this solution : You should check x=6, the same way