If the discriminant of a quadratic polynomial, D > 0, then the polynomial has
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the discriminant of a quadratic polynomial, D > 0, then the polynomial has
-> the two real and distinct rule
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Given: The discriminant of a quadratic polynomial is
To find: The nature of the roots of the quadratic polynomial.
Solution:
The discriminant of an equation may it be a linear equation or quadratic equation helps in the determination of the nature of the solution of the equations.
To find the discriminant we need to equate the equation with the standard form.
The formula of discriminant for a quadratic equation is:
When the discriminant is , the nature of the roots is that it is real and unequal.
Final answer:
The nature of the roots of quadratic polynomial is real and unequal.
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