Question

Can any one pls help me...

How to find the nature of root? ​

Answer 1

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To determine the nature of roots of quadratic equations (in the form ax² + bx +c=0) , we need to caclulate the discriminant, which is b² - 4ac. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real. When discriminant is less than zero, the roots are imaginary.

• D>0: When D is positive, the equation will have two real and distinct roots. This means the graph of the equation will intersect x-axis at exactly two different points.
• D = 0: When D is equal to zero, the equation will have two real and equal roots. This means the graph of the equation will intersect x-axis at exactly one point. The roots can be easily determined from the equation 1 by putting D=0.
• D < 0: When D is negative, the equation will have no real roots. This means the graph of the equation will not intersect x-axis.

Step-by-step explanation:

Hope this helps you ✌️

Answer 2

Step-by-step explanation:

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.