x-7sqrt(x)+10=0 . the solution set is/are x = ?. is there an extraneous solution? if so what is / are x=?
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
$$\\\sqrt x = 2 \;or\; 5\\ x=4 \;or \;25\\\\ check\; x=4\\ 4-7*2+10=0 \;true\\ check x=25\\ 25-35+10=0 \;true\\\\ So\; x=4\; or\; x=25$$
