How do you solve $2sqrtx + 3 = 10$ ?

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Answer 1 · 2015-07-24T18:23:26

You isolate $sqrt(x)$ on one side, then square both sides of the equation.

The first thing you need to do in order to solve this equation is isolate $sqrt(x)$ on one side of the equation.

To do this, first add $-3$ to both sides of the equation

$2sqrt(x) +cancel(3) - cancel(3) = 10 - 3$

$2sqrt(x) = 7$

Next, divide both sides of the equation by $2$

$(cancel(2) * sqrt(x))/cancel(2) = 7/2$

$sqrt(x) = 7/2$

To get the value of $x$ , square both sides

$(sqrt(x))""^2 = (7/2)^2$

$x = color(green)(49/4)$

How do you solve 2sqrtx + 3 = 102sqrtx + 3 = 10?