Question

What is the nature of roots of x²-2x+4=0

Answer 1

To find the the nature of roots we find the Determinant of the quadratic equation.

$D = {b}^{2} - 4ac$

• If D = 0, roots are real and equal.
• If D > 0, roots are real and unequal.
• If D < 0, roots are imaginary.

Given quadratic equation:

${x}^{2} - 2x + 4 = 0$

a=1, b=-2, c=4

D = (-2×-2)-4×1×4 = 4-16 = -12

Hence, roots of the given equation are imaginary.

Answer 2

Answer:

hii mate...

Step-by-step explanation:

By using discriminate formula,

D = b square - 4 ac

where , a= 1 , b= -2 and c= 4

putting the value of a, b ,and c in given formula

D = (-2) ^2 - 4×1×4

= 4 - 16

D = -12

hope it's help you...

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