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.Com
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
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
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) ^2 - 4(1)(5) = -16 < 0)
b) Therefore, the roots are a conjugate pair of complex numbers.
c)  \pm sqrt{(-2)^2 - 4(1)(5)}}{2(1)} = \frac {2 \pm sqrt{-16}}{2} = \frac {2 \pm 4i}{2} = 1 \pm 2i)
John
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