How do you solve $sqrt( 5x+9) + 3 = 2x$ ?

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Answer 1 · 2016-08-03T02:06:00

$sqrt(5x + 9) = 2x - 3$

$(sqrt(5x + 9))^2 = (2x - 3)^2$

$5x + 9 = 4x^2 - 12x + 9$

$0 = 4x^2 - 17x$

$0 = x(4x - 17)$

$x = 0 and 17/4$

Checking in the original equation we find the $x = 0$ is extraneous. Hence, the solution set is ${17/4}$ .

Hopefully this helps!

How do you solve sqrt( 5x+9) + 3 = 2xsqrt( 5x+9) + 3 = 2x?