Question

Help!!
Describe the nature of the roots for this equation:
x^2+3x-7=0

Answer 1

The options are:
A) Two complex roots
B)Two real, irrational roots
C)Two real, rational roots
and
D) One real, double root.

Answer 2

D=3^2-4*1*-7=9+28=37>0 and not a perfect square.
Hence roots are real and irrational.
note:-If D>0 and a perfect square then roots are real and rational.
If D=0 then roots are equal.