The discriminant is a simple formula you can use to learn about the roots of quadratic equations.
The formula is:
(D = b^2 - 4ac)
Quadratic equations usually look like this:
(ax^2 + bx + c = 0)
The discriminant helps us figure out how many solutions (or roots) the equation has and what type they are. Here’s what the discriminant can tell us:
Two Different Real Roots: If (D > 0), this means the equation has two different real roots.
One Real Root: If (D = 0), there is exactly one real root. This root is counted twice and is sometimes called a repeated root.
No Real Roots: If (D < 0), the equation has no real roots at all. Instead, it has complex roots.
Understanding the discriminant is important for solving quadratic equations!
The discriminant is a simple formula you can use to learn about the roots of quadratic equations.
The formula is:
(D = b^2 - 4ac)
Quadratic equations usually look like this:
(ax^2 + bx + c = 0)
The discriminant helps us figure out how many solutions (or roots) the equation has and what type they are. Here’s what the discriminant can tell us:
Two Different Real Roots: If (D > 0), this means the equation has two different real roots.
One Real Root: If (D = 0), there is exactly one real root. This root is counted twice and is sometimes called a repeated root.
No Real Roots: If (D < 0), the equation has no real roots at all. Instead, it has complex roots.
Understanding the discriminant is important for solving quadratic equations!