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NCERT Class 10 Mathematics Quadratic Formula Worksheet CBSE Board Sample Problems
Quadratic Formula Worksheet
For the Quadratic equation
Where a, b and c are real numbers and
Roots of the quadratic equation is given by Quadratic Formula
Question 1. State which all quadratic equations have real roots, no real roots
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
Solution
Nature of roots of Quadratic equation
S. no | Condition | Nature of roots |
1 | Two distinct real roots | |
2 | One real root | |
3 | No real roots |
Real roots: (b) , (d) , (e) , (f) , (g)
No real roots: (a) , (c) , (h)
Question 2. Find the roots of the quadratic equation using Quadratic Formula
(a)
(b)
Solution
(a)
Comparing this to
We have and
So roots are and 5
(b)
Comparing this to
and
So
Roots are 5 and 6
Question 3. Find the roots of the quadratic equation using Quadratic formula
(a)
(b)
Solution
Comparing this to
and
So
Comparing this to
and
So
Question 4
Find the roots using Quadratic Formula
(a)
(b)
(c)
(d)
(e)
(g)
(h)
(i)
(j)