Question

1. Determine the nature of the roots of the equation.

Answer 1

Hi ,

Given quadratic equation is

2x² - 3x + 4 = 0

Compare above quadratic equation

with ax² + bx + c = 0

a = 2 , b = -3 , c = 4

Discreaminant = b² - 4ac
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b² - 4ac determines whether the

quadratic equation ax² + bx + c = 0

has real roots or not , b² - 4ac is

called the discreaminant of the

quadratic equation.
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D = ( -3 )² - 4 ×2 × 4

= 9 - 32

= - 23

< 0
Therefore ,

D < 0 ,

the quadratic equation has no real

roots .

I hope this helps you.

: )