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Question Number 121876 by oustmuchiya@gmail.com last updated on 12/Nov/20

Commented by liberty last updated on 12/Nov/20

⇒ (√(x−6)) = 7−(√(x−1))  ⇒x−6 = 49−14(√(x−1)) + x−1   ⇒14(√(x−1)) = 54 ⇒(√(x−1)) = ((27)/7)  ⇒x−1 = ((27^2 )/(49)) ; x = ((27^2 +7^2 )/(49))= 15.877551

$$\Rightarrow\:\sqrt{\mathrm{x}−\mathrm{6}}\:=\:\mathrm{7}−\sqrt{\mathrm{x}−\mathrm{1}} \\ $$$$\Rightarrow\mathrm{x}−\mathrm{6}\:=\:\mathrm{49}−\mathrm{14}\sqrt{\mathrm{x}−\mathrm{1}}\:+\:\mathrm{x}−\mathrm{1}\: \\ $$$$\Rightarrow\mathrm{14}\sqrt{\mathrm{x}−\mathrm{1}}\:=\:\mathrm{54}\:\Rightarrow\sqrt{\mathrm{x}−\mathrm{1}}\:=\:\frac{\mathrm{27}}{\mathrm{7}} \\ $$$$\Rightarrow\mathrm{x}−\mathrm{1}\:=\:\frac{\mathrm{27}^{\mathrm{2}} }{\mathrm{49}}\:;\:\mathrm{x}\:=\:\frac{\mathrm{27}^{\mathrm{2}} +\mathrm{7}^{\mathrm{2}} }{\mathrm{49}}=\:\mathrm{15}.\mathrm{877551} \\ $$$$ \\ $$

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