What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has?

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.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

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