That's what I got. to rationalize the numerator you have to multiply by the conjugate, in this case (√3 + 9) / (√3 + 9), which is what it looks like you did.
hope this helps! if you liked this answer please rate it as brainliest!! thank you!!!
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5*n+(3/4)*n = 2 // - 2
5*n+(3/4)*n-2 = 0
23/4*n-2 = 0 // + 2
23/4*n = 2 // : 23/4
n = 2/23/4
n = 8/23
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Pretty long one but it’s -5+/- sqrt(19) all over 2. Hope this helps!!!
X= -2 + the root of 5
OR
x= -2 - the root of 5