SOLUTION: Please help me solve the following equation. {{{ 3+ sqrt( 3x-5 ) =x}}}
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-> SOLUTION: Please help me solve the following equation. {{{ 3+ sqrt( 3x-5 ) =x}}}
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Algebra: Radicals -- complicated equations involving roots
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Question 242084
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Please help me solve the following equation.
Answer by
checkley77(12844)
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sqrt(3x-5)=x-3 square both sides
3x-5=(x-3)^2
3x-5=x^2-6x+9
x^2-6x-3x+9+5=0
x^2-9x+14=0
(x-7)(x-2)=0
x-7=0
x=7 ans.
x-2=0
x=2 ans.