Question

Find the nature of roots of quadratic equation 2x sq. + 3x - 7=0

Answer 1

To find the nature of roots,find Discriminate

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

b=3

c= -7

$D = {3}^{2} - 4(2)( - 7) \\ \\ = 9 + 56 \\ \\ = 65$
D >0, So, roots are real and distinct.

Answer 2

Hey Mate !


Good morning


Here's your answer

a = 2

b = 3

c = - 7



As we know that ,


Discriminate = b² - 4 ac

Discriminate = 3² - 4 × 2 × ( - 7 )

=> 9 - 8 × ( -7 )

=> 9 + 56

=> 65

Here ,

D is greater than 0


Therefore , Roots are distinct .