SOLUTION: Without performing and mathematical calculations explain why there cannot be any solutions to the equation
√2x^2-4+2√3-4x+1=-6
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Question 437328: Without performing and mathematical calculations explain why there cannot be any solutions to the equation
√2x^2-4+2√3-4x+1=-6
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of a rational number and an irrational number is always irrational. Since there is an irrational constant in the LHS, for all complex values of x, the LHS will be irrational and the RHS is a rational constant. Since there is no value of x that will make the LHS rational, there is no solution.
John
My calculator said it, I believe it, that settles it
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