Question

what is the nature of the root of the quadratic equation
4m2-8m+9=0?​

Answer 1

Answer:

hence the root are not real

Step-by-step explanation:

The naturenature ofof thethe equationequation willwill bebe givengiven byby thethe discriminantdiscriminant :

Discrimant=b^{2} -4acDiscrimant=b

2

−4ac

if:if:

b^2-4ac=0b

2

−4ac=0

thenthen thethe rootsroots areare realreal andand equalequal

b^2-4ac < 0b

2

−4ac<0

thenthen thethe rootsroots areare notnot realreal andand complexcomplex

b^2-4ac > 0b

2

−4ac>0

thenthen thethe rootsroots areare realreal andand distinct.distinct.

b^2-4acb

2

−4ac

(-8)^2-4(4)(9)(−8)

2

−4(4)(9)

64-144=-8064−144=−80

HenceHence thethe rootsroots areare notnot realreal andand complexcomplex .

Answer 2

Answer:

b^2-4ac=

8×8-4×4×9

=64-144

=-80

Hence, no real root

I think so