28. Draw the rough graph of quadratic equation whose discriminant is negative
Answers
Step-by-step explanation:
it will not touch the x, axis
An upward opening parabola is a result of graph of quadratic equation whose discriminant is negative.
Given,
discriminant is negative
D = b^2 - 4ac
b^2 - 4ac < 0
b^2 < 4ac
Now, we need to choose the values of a, b and c such that, these values satisfy the above condition.
1. Let us consider, a = 1, b = 5, c = 2
b^2 < 4ac
5^2 < 4 (1) (2)
25 < 8
Hence the condition is satisfied.
The quadratic equation is given by,
ax^2 + bx + c = 0
(1) x^2 + (5) x + (2) = 0
x^2 + 5x + 2 = 0
The graph of this equation is attached below.
2. Let us consider, a = 2, b = 7, c = 3
b^2 < 4ac
7^2 < 4 (2) (3)
49 < 24
Hence the condition is satisfied.
The quadratic equation is given by,
ax^2 + bx + c = 0
(2) x^2 + (7) x + (3) = 0
2x^2 + 7x + 3 = 0
The graph of this equation is attached below.
