Quadratic Equation Roots: How B² – 4Ac > 0 Indicates Two Distinct Real Roots

If b²-4ac > 0

There are 2 real roots

If b² – 4ac > 0 is a condition in algebra and mathematics that indicates that a quadratic equation has two distinct real roots. In a quadratic equation of the form ax² + bx + c = 0, the values of a, b, and c can determine the nature of the roots.

If b² – 4ac > 0, the quadratic equation has two distinct real roots. That is, the quadratic equation can be factored, and the roots are real and unequal. Graphically, the equation represents a parabola that intersects the x-axis at two distinct points.

To find the roots of the quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² – 4ac)) / 2a

In this case, since b² – 4ac > 0, the square root term in the quadratic formula is positive and the formula will produce two different real values of x as the roots of the equation.

In summary, if b² – 4ac > 0, then the quadratic equation has two distinct real roots.

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