How do you solve $x – 3sqrtx = 10$ ?

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Answer 1 · 2016-07-19T19:59:46

$x - 10 = 3sqrt(x)$

$(x - 10)^2 = (3sqrt(x))^2$

$x^2 - 20x + 100 = 9x$

$x^2 - 29x + 100 = 0$

$(x - 25)(x - 4) = 0$

$x = 25 and 4$

Checking back in the initial equation, we find that only $x = 25$ works. Hence, the solution set is ${25}$ .

Hopefully this helps!

How do you solve x – 3sqrtx = 10 x – 3sqrtx = 10 ?