Question

Discuss the nature of the roots of the following equations :

☆ 2x² - 4x + 3 = 0​

Answer 1

Answer:

Given quadratic equation is,

2x

2

+4x+3=0

∴a=2,b=4,c=3

Thus, discriminant of this equation is given by,

D=b

2

−4ac

∴D=(4)

2

−4(2)(3)

∴D=16−24

∴D=−8<0

Thus, roots of the equation are imaginary

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given quadratic equation is,

2x2+4x+3=0

∴a=2,b=4,c=3

Thus, discriminant of this equation is given by,

D=b2−4ac

∴D=(4)2−4(2)(3)

∴D=16−24

∴D=−8<0

Thus, roots of the equation are imaginary