ax² + bx + c = 0, where a, b and c are constants with a ≠ 0.
The discriminant of the quadratic equation is equal to b² - 4ac and is denoted by ∆.
The discriminant is very useful in determining the nature of the roots of a given quadratic equation.
If the discriminant b² - 4ac > 0, the roots are real and unequal. If it is a perfect square, the roots are rational and unequal. Otherwise, that is, if it is positive but not a perfect square, the roots are irrational and unequal.
If the discriminant b² - 4ac = 0, the roots are equal and rational.
If the discriminant b² - 4ac < 0, the roots are imaginary.
Answers & Comments
Answer:
A general quadratic equation is of the form
ax² + bx + c = 0, where a, b and c are constants with a ≠ 0.
The discriminant of the quadratic equation is equal to b² - 4ac and is denoted by ∆.
The discriminant is very useful in determining the nature of the roots of a given quadratic equation.
If the discriminant b² - 4ac > 0, the roots are real and unequal. If it is a perfect square, the roots are rational and unequal. Otherwise, that is, if it is positive but not a perfect square, the roots are irrational and unequal.
If the discriminant b² - 4ac = 0, the roots are equal and rational.
If the discriminant b² - 4ac < 0, the roots are imaginary.
Answer:
×2+4×+3=0
×2-5×+4,=0
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