MyLove3753 MyLove3753
  • 21-10-2019
  • Mathematics
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Solve x=2√(x-4) + 4.

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  • 22-10-2019

Answer:x=4,8

Step-by-step explanation:

Given

[tex]x=2\sqrt{x-4}+4[/tex]

[tex]x-4=2\sqrt{x-4}[/tex]

Squaring both sides

[tex](x-4)^2=4(x-4)[/tex]

[tex]x^2+16-8x=4x-16[/tex]

[tex]x^2-12x+32=0[/tex]

[tex]x=\frac{12\pm \sqrt{12^2-4\times 32}}{2}[/tex]

[tex]x=\frac{12\pm 4}{2}[/tex]

[tex]x=4,8[/tex]

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