What does it mean if a quadratic equation has no solution?

From an analytical point of view, a quadratic equation has no (real) solution if the discriminant is negative.

In fact, the equation for the solution involves the quantity , where a,b and c are the coefficient of the equation .

Since we can't compute the square roots of negative numbers using real numbers, if the equation has no solution.

From a geometric point of view, the solutions of an equation are the points where the graph of the equation intersects the x axis. So, if a parabola (i.e. the graph of a quadratic polynomial) has no solutions, it means that its graph never intersercts the x axis.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

step-by-step explanation:

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