Determine the values of k for which the equation has no solution:
1 answer:
Let's rewrite the equation as
This should be enough to convince you that the equation has no solutions, no matter which value for k you choose. In fact, the left hand side of the equation is an absolute value, which by definition is always positive, or zero in the worst case.
The equality asks for this quantity to equal -3, a negative number.
A non-negative quantity can never equal a stricktly negative quantity, so the equation has no solutions.
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