How do you solve the equation $sqrt(10c)+2=5$ ?

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Answer 1 · 2017-04-29T20:36:34

See the solution process below:

First, subtract $color(red)(2)$ from each side of the equation to isolate the square root term while keeping the equation balanced:

$sqrt(10c) + 2 - color(red)(2) = 5 - color(red)(2)$

$sqrt(10c) + 0 = 3$

$sqrt(10c) = 3$

Next, square each side of the function to eliminate the square root while keeping the equation balanced:

$(sqrt(10c))^2 = 3^2$

$10c = 9$

Now, divide each side of the equation by $color(red)(10)$ to solve for $x$ while keeping the equation balanced:

$(10c)/color(red)(10) = 9/color(red)(10)$

$(color(red)(cancel(color(black)(10)))c)/cancel(color(red)(10)) = 9/10$

$c = 9/10$

How do you solve the equation sqrt(10c)+2=5sqrt(10c)+2=5?