Quadratic #5

Algebra Level 2

problem 5

x 2 − 18 x + 8 = 0 x^2 - 18x + 8 = 0 x 2 − 18 x + 16 = 0 x^2 - 18x + 16 = 0 x 2 + 18 x + 16 = 0 x^2 +18x + 16 = 0 x 2 − 18 x + 4 = 0 x^2 - 18x + 4 = 0

Radhesh Sarma by Radhesh Sarma , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

4 solutions

Too much overrated, lol ! It is a sort of an oral question but weighs 200 points and level 5 !

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sakshi Taparia
Feb 20, 2015

let 2 numbers be x and y.

arithmetic mean=9 i.e. [x+y]/2=9 which gives x+y=18

further geometric mean =4 i.e.
xy= 16

now, sum of roots=18 and product=16

using Vieta's formula, equation is x^-18x +16

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Rohit Ner
Mar 7, 2015

lol its a level 1 question....

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Smarth Mittal
Feb 20, 2015

why is this even a level 4 question?

did it orally :3

We are given that arithmetic mean is 9 which means that sum of roots is 18 and geometric mean is 4 so product of roots will be 16 which is satisfied by the equation

x 2 − 18 x + 16 = 0 {x}^2 - 18x + 16 = 0

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...