x-14 squarerootx +48=0
u=sqrt(x) so u^2 -14u +48 =0
using factorization method u^2-12u-4u+48=0 (u-12)(u-4)=0 u=12 or u=4
(u-8)(u-6) =0
the answer has to be solutions
oh u right man
u=6 , u=8 sqrt(x) = 6 --> x = 36 sqrt(x) = 8 --> x= 64
thanks how did you get the answer please tell me how
once u find the values of u, by backward substitution u find x
you simply see how it could fit into a "normal" quadratic form. if u = sqrt(x) then u^2 = x right? So we solve for: u^2 - 14u +48 = 0 instead; and when we find the values for "u" we can then determine that value for x; since u = sqrt(x) when "u" = 6 we get: 6 = sqrt(x); or 6^2 = x, so naturally, x = 36 for this solution
x -14 sqrt(x) +48 = 0 | | | | u^2 - 14 u +48 = 0
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