SOLUTION: Without performing and mathematical calculations explain why there cannot be any solutions to the equation
√2x^2-4+2√3-4x+1=-6
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Without performing and mathematical calculations explain why there cannot be any solutions to the equation
√2x^2-4+2√3-4x+1=-6
Log On
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