Question

5) Determine the nature of the root of the
following quadratic equation:
2x² - 4x+4=0​

Answer 1

Step-by-step explanation:

x 2

−4x+4=0

Comparing the given equation with the quadratic equation ax

2

+bx+c=0

a=1,b=−4 and c=4

Discriminant,

Δ=b 2 −4ac=(−4) 2 −4×1×4=16−16=0

Since the discriminant =0

so, the roots of the given quadratic equation are real and equal.

Answer 2

Step-by-step explanation:

b²-4ac

(-4)²-4(2)(4)= 16-32= -16

-16<0

b²-4ac<0

Therefore, the roots are irrational and imaginary..