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Given the equation 2x2 - 5x + 7 = 0. What is the discriminant? 

Describe the roots and explain your reasoning.

 Feb 4, 2019
edited by Guest  Feb 4, 2019

Best Answer 

 #1
avatar+18965 
+1

(b^2-4ac)=   (25-4(2)(7) )  =    (25-56) = (-31)

 

There will be two imaginary roots due to the NEGATIVE discriminant

 Feb 4, 2019
edited by ElectricPavlov  Feb 4, 2019
 #1
avatar+18965 
+1
Best Answer

(b^2-4ac)=   (25-4(2)(7) )  =    (25-56) = (-31)

 

There will be two imaginary roots due to the NEGATIVE discriminant

ElectricPavlov Feb 4, 2019
edited by ElectricPavlov  Feb 4, 2019
 #2
avatar+805 
-1

The discriminant formula is \(b^2-4ac\) . Substituting...

\((-5)^2-4(7)(2)=25-56=-31\). The discriminant is -31.

Since the discriminant is negative, it has complex roots.

 

You are very welcome!

:P

 Feb 4, 2019

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