Given: The equation: px^2 + qx + r
To find: If the quadratic expression px^2+qx+r has the same sign as that of p ,then find the relation among p,q and r.
Solution:
f(x) = px^2 + qx + r
Discriminant < 0
b² - 4ac < 0
q^2 - 4pr < 0
q^2 < 4pr
Answer:
So the relation is: q^2 < 4pr
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Verified answer
Given: The equation: px^2 + qx + r
To find: If the quadratic expression px^2+qx+r has the same sign as that of p ,then find the relation among p,q and r.
Solution:
f(x) = px^2 + qx + r
Discriminant < 0
b² - 4ac < 0
Discriminant < 0
b² - 4ac < 0
q^2 - 4pr < 0
q^2 < 4pr
Answer:
So the relation is: q^2 < 4pr