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yogesh gandhi Grade: 12
        x^2 -6x +14 
8 years ago

Answers : (2)

AskIITians Expert Hari Shankar IITD
17 Points
										

x2 - 6x + 14 = 0


Discriminant D = b2-4ac


= 62 - 4(1)(14) = 36 - 56 = -20


Since the Discriminant D is negative, this equation has no real solutions. It has only imaginary solutions.


square root(D) = sqrt(-20) = 2i sqrt(5)


x= (-b + sqrt(D))/2a , (-b - sqrt(D))/2a


or, x = (6 + 2i sqrt(5))/2 , (6- 2i sqrt(5))/2


or, x = 3 + i sqrt(5), 3 - i sqrt(5) are the imaginary solutions.


 


(If you have not studied complex numbers, leave out the part after the 4th line)

8 years ago
anurag singhal
4 Points
										

this equation does not have real roots


D<0


it will be 6+/_iroot20


 

8 years ago
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