If b²-4ac > 0
There are 2 real roots
If b² – 4ac > 0, it means that the discriminant of a quadratic equation is positive. The discriminant is the expression inside the square root in the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
A positive discriminant indicates that the quadratic equation has two distinct real roots. This can also be seen geometrically as the quadratic equation represents a parabola that intersects the x-axis at two distinct points.
For example, the quadratic equation x² – 5x + 6 = 0 has a discriminant of 1, which is greater than 0. Therefore, the quadratic equation has two distinct real roots: x=2 and x=3.
If you are given a quadratic equation where b² – 4ac > 0, you can use the quadratic formula to find the values of x that satisfy the equation.
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