If the discriminant of a quadratic equation is positive, it indicates that the equation has two distinct real roots. This means that the graph of the equation intersects the x-axis at two points. A positive discriminant also suggests that the solutions are not repeated and that the parabola opens either upward or downward, depending on the leading coefficient.
That its roots (solutions) are coincident.
it has one real solution
There are two distinct real solutions.
Then x will have two different distinct roots
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It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots
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That its roots (solutions) are coincident.
That its roots (solutions) are coincident.
The discriminant tells you how many solutions there are to an equation The discriminant is b2-4ac For example, two solutions for a equation would mean the discriminant is positive. If it had 1 solution would mean the discriminant is zero If it had no solutions would mean that the discriminant is negative
two real
it has one real solution
It has one real solution.
There are two distinct real solutions.
Then x will have two different distinct roots
The equation has two real solutions.
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