Both the roots of a quadratic equation are same then what can you
say about the value of discriminant for the equation?
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The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.
A positive discriminant indicates that the quadratic has two distinct real number solutions.
A discriminant of zero indicates that the quadratic has a repeated real number solution.
A negative discriminant indicates that neither of the solutions are real numbers.
Want to understand these rules at a deeper level? Check out this video.
Example
We're given a quadratic equation and asked how many solutions it has:
6x2+10
x−1=0
6x 2
+10x−1=06, x, squared, plus, 10, x, minus, 1, equals, 0
From the equation, we see:
a=6
a=6a, equals, 6
b=10
b=10b, equals, 10
c=−1
c=−1c, equals, minus, 1
Step-by-step explanation:
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