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x-7sqrt(x)+10=0

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x-7sqrt(x)+10=0 . the solution set is/are x = ?. is there an extraneous solution? if so what is / are x=?

math algebra

Guest Aug 27, 2014

Best Answer

+118702

+10

Mmm interesting

x-7sqrt(x)+10=0

Let y=sqrt(x) then we have

y^2-7y+10=0

(y-2)(y-5)=0

y=2 or 5

$\\\sqrt x = 2 \;or\; 5\\ x=4 \;or \;25\\\\ check\; x=4\\ 4-7*2+10=0 \;true\\ check x=25\\ 25-35+10=0 \;true\\\\ So\; x=4\; or\; x=25$

Melody Aug 27, 2014

1⁺⁰ Answers

+118702

+10

Best Answer

Mmm interesting

x-7sqrt(x)+10=0

Let y=sqrt(x) then we have

y^2-7y+10=0

(y-2)(y-5)=0

y=2 or 5

$\\\sqrt x = 2 \;or\; 5\\ x=4 \;or \;25\\\\ check\; x=4\\ 4-7*2+10=0 \;true\\ check x=25\\ 25-35+10=0 \;true\\\\ So\; x=4\; or\; x=25$

Melody Aug 27, 2014

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