#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# if a,b,c are inG.P find the ratio of ax2+bx+c=0

10 years ago

this question is not clear , what ratio do you want us to find

a:b:c

in a GP the numbers are always in the ratio of r : 1 with the previous number

so here the ratio is

1 : r : r2 where 'r' is the common term

Find 'r' and then we get the ratio.

10 years ago

IF we are reqd to find the ratio between the roots of the equation ax2+bx+c=0.. then

Let the roots be Y and Z.So reqd to find is Z/Y.

Y+Z=-b/a

YZ=c/a

Let the common ratio of the gp be r

Y+Z=-r and YZ=r2

or (Y+Z)2=YZ

which gives Y2+Z2=-YZ

Dividing by YZ we get Y/z +Z/Y=-1

If Y/Z =m then we have m+1/m=-1

which is impossible as sum of a No and its reciprocal iS alwyz >2 or <-2..so the equation wont have any real roots