Question

what are nature of roots?

Answer 1

are you talking about roots of Quadratic equation?

Answer 2

@Anikate

Answer 3

umm let me check

Answer 4

yup

Answer 5

plz dont give me a link

Answer 6

ok for quadratic equation
\[ax^2+bx+c=0\]
there is discriminant
\[b^2-4ac\]
if
\[b^2-4ac\] is zero roots are real and equal
if
\[b^2-4ac\] is positive roots are real and unequal
if
\[b^2-4ac\] is negative then roots are unequal and imaginary

Answer 7

in my notes my teacher wrote on the board something like 2 rational roots and the discriminant is a perfect square

Answer 8

for example
x^2-4x+3=0
discriminant is
(-4)^2-4(1)(3)=16-12=4
since discriminant is positive roots must be real nd unequal

lets see one more
x^2-3x+7=0
discriminant is
(-3)^2-4(1)(7)=9-27=-18
discriminant is negative roots must be imaginary

Answer 9

sorry missed that one:)

yes if the discriminant is perfect square then roots must be rational and real

Answer 10

what part of discrim. tell u that it's a perfect square?

Answer 11

Here's my tutorial on the discriminant. You can just skim to the part where it tells you what the nature of the roots is. http://openstudy.com/users/calcmathlete#/updates/4ff670ace4b01c7be8c96b7c

Answer 12

look at the following
2x^2+7x+3=0
here a=2,b=7,c=3


discriminant is 7^2-4(2)(3)=25

Answer 13

discriminant is perfect square (25)=5^2