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1 answer:
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Answer 1. Discriminant
Given: A quadratic equation
on comparing to the standard quadratic equation ,we get a=1,b=-4 and c=5
Discriminant
<0, which means there will be complex number solutions.
Answer 2. The number of real solutions the equation has,depends on the discriminant
1) If d = 0, then the quadratic equation will have exactly one real number solution (with duplicity.)
2) If d > 0 then the quadratic equation will have exactly two real number solutions.
3) If d < 0 then the quadratic equation will have no real solutions. There will be two complex number solutions.