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X^2-3x+7=0

A. the equation has one​ real-number solution.
B. The equation has no​ real-number solution.
C. The equation has no​ real-number solution.

1 Answer

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Answer: x=2+√3. (-i)

If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers. Some equations have exactly one solution. In these equations, there is only one value for the variable that makes the equation true. You can tell that an equation has one solution if you solve the equation and get a variable equal to a number.

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