I was trying to solve this problem, but couldn't, even after an hour of toiling! Somebody from Brilliant, please help me!

(√2x-6) + (√x+4)= 5

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TopNewest(√2x-6) + (√x+4)= 5

condition:x≥3 ==> [(√2x-6) + (√x+4)]²=5² <=> 2x-6 + 2(√2x-6)(√x+4) + x+4 = 25 <=> 3x-2 + 2(√2x²+2x-24) = 25 <=> 2(√2x²+2x-24) =27-3x ==>4(2x²+2x-24) = 27²-162x+9x² <=>x²-170x+825 = 0 <=>(x-5)(x-165) = 0 <=> x=5 or x=165 (satisfies) So, x=5 ; x=165

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What have you tried?

Try squaring the equation, what do you get? Does that get rid of the square roots?

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X =5

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How? Can you work it out?

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