Question

Choose the best description of the roots of the equation 2x^2-5x+3=0.


double root
real and rational roots
real and irrational roots
imaginary roots

Answer 1

help please

Answer 2

try finding the value of \[b^2 - 4ac\]

Answer 3

calculate the D which is = \[\sqrt{b ^{2}-4*a*c}\]

Answer 4

@pulkit21384 no need for the square root

Answer 5

i dont get it

Answer 6

yeah i know, but value of discremenent is square root of b²-4ac

Answer 7

@jalinnn the equation you have is of the form ax² + bx + c=0

Answer 8

as you can see by comparing your equation with the general form as i have mentioned and you can get value of
a=2
b=-5
c=3

Answer 9

now put these values of a,b and c in the formula for d

Answer 10

25=4(2*3)?

Answer 11

if you mean 25-4*2*3 =1, than its ok

Answer 12

now take the square root of this value which is 1

Answer 13

now our conditions are
D can be greater than 0
D can be smaller than 0
D can be equal to zero

Answer 14

so its real and rational

Answer 15

if D > 0 the roots are real and they are rational if sqare root of b² -4ac is ratioonal otherwise irrational
if D<0 the roots are not real they are imaginary roots
if D=0 the roots are equal

Answer 16

yes you are right