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Solve the following radical equation. 2√x+2-√x-3=√x+9

Solve the following radical equation. 2√x+2-√x-3=√x+9
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Solve the following radical equation. 2√x+2-√x-3=√x+9

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User Gary Gale
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Answer:

Explanation:


2√(x+2) -√(x-3) =√(x+9 )  \\squaring ~both~sides\\4(x+2)+(x-3)-4√((x+2)(x-3)) =x+9 \\4x+8+x-3-x-9=4√(x^2-x-6) \\4x-4=4√(x^2-x-6) \\or ~√(x^2-x-6) =x-1\\again ~squaring\\x^2-x-6=x^2-2x+1\\2x-x=1+6\\x=7

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User Nishant Roy
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