1. Draw the rough diagram of ax? + bx + c = 0, a = 0 if b2 > 4ac.
Answers
Step-by-step explanati
Answer:
Hello,
Step-by-step explanation:
ax² + bx + c = 0, is a quadratic equation which vertex is (-b/2a, -D/4a). where D is discriminant.i.e., D = b² - 4ac.
there are three situations possible for quadratic equation
when D = b² - 4ac = 0 , it means quadratic touch at a point on x-axis. hence, roots of quadratic equation will be equal.
when D = b² - 4ac < 0, it means quadratic equation doesn't have real roots. because it neither touches nor intersects the x-axis.
when D = b² - 4ac > 0, it means quadratic equation have real roots and both are distinct. graph of quadratic equation intersects two two points on the x-axis.
here we have to draw the last situation (situation no 3). vertex = (-b/2a, D/4a)
and roots are α and β
so, graph would be as shown in figure.