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Solve: sqrt(7x-5)+sqrt(15x+4)=sqrt(30x+31)

would I square both sides and then add and subtract I get 4 is that right?

1 answer

7x-5 + 2sqrt(7x-5)sqrt(15x+4) + 15x+4 = 30x+31

2sqrt(7x-5)sqrt(15x-4) = 8x-32
sqrt [105x^2 - 28x - 75x + 20] = 4x - 16

105x^2 - 103x + 20 = 16x^2 - 128x + 256

89x^2 + 25x - 236 = 0

Solve for x
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