SOLUTION: Complete parts a-c for each quadratic equation a) find the value of the discriminant b) describe the number and type of roots c) find the exact solutions by using the Quadratic

Algebra ->  Rational-functions -> SOLUTION: Complete parts a-c for each quadratic equation a) find the value of the discriminant b) describe the number and type of roots c) find the exact solutions by using the Quadratic       Log On


   

Question 182396This question is from textbook Algebra2
: Complete parts a-c for each quadratic equation
a) find the value of the discriminant
b) describe the number and type of roots
c) find the exact solutions by using the Quadratic Formula
16) x^2-2x+5=0 This question is from textbook Algebra2

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Quadratic formula:

Given:





The discriminant, is the value of the expression under the radical in the quadratic formula:



Roots are real and unequal.

Roots are real and equal. Also expressed as a single root with a multiplicity of 2.

Roots are a conjugate pair of complex numbers of the form where i is the imaginary number defined by

For your problem:







Hence

a)

b) Therefore, the roots are a conjugate pair of complex numbers.


c)




John