if d= zero the roots are_____ and each of them is______ (note:the equation is ax²+bx+c=0)
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If D = 0 the roots are real and each of them is equal.
Explanation:
→ D stands for 'Discriminant'.
★ It is used to determine the nature of roots.
★ For a Quadratic Equation of general form ax² + bx + c, the formula used for calculating the value of D is
D = b² - 4ac
★ If D > 0, roots are real and not equal.
If D < 0, roots are not real that is roots are imaginary.
KNOW MORE:
- Using this value of Discriminant, we can find the value of x in a quadratic equation by using the formula:
x = (-b ± √D) ÷ 2a
- There are also other methods for finding value of x in a quadratic equation like splitting of middle term and completing the square method
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