Question

3x^2-2x+7= 0 how do we factor this?

Answer 1

Find the roots of the equation. The factors will be (x-root one)(x-root two)

Answer 2

yea it doesn't work that way. I tried factoring by grouping mertsj

Answer 3

This doesn't factorise.

Answer 4

it does , it will work using comp[leteing the square method. but I need a simpler way

Answer 5

Maybe I misunderstand what you are trying to achieve here. Do you want to express this as (something)(something)=0?

Answer 6

if the discriminant value (D) < 0, obviously it cant be factored. u need the quadratic formula to solve this.
x = (-b +- sqrt(D))/2a
with D = discriminant = b^2 - 4ac

Answer 7

@Bad2zBone yup ! or solve for x

Answer 8

This equation can not be solved for real x.

Answer 9

it cn because regardless lets say it was (x-3) (x+2) x will equal +3
and -2

Answer 10

You can only factorise if you have real roots. In this case there is no x value that will satisfy this equation and hence you can't factorise this.

Answer 11

oh ok I understrand what you are saying now thanks !

Answer 12

completing the square I personally think is the BEST method

Answer 13

\[x=\frac{2\pm \sqrt{4-4(3)(7)}}{6}=\frac{2\pm \sqrt{-80}}{6}=\frac{1\pm2\sqrt{5}i}{3}\]

Answer 14

From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen?
can u hlp me with this? I keep getting 5

Answer 15

So the factors are:
\[[x-(\frac{1+2\sqrt{5}i}{3})][x-(\frac{1-2\sqrt{5}i}{3})]\]

Answer 16

5cr 3 is 5x4x3/(3x2x1)(2x1 right?

Answer 17

\[\frac{5!}{3!2!}=\frac{5\times4}{2}=10\]

Answer 18

Well he hasn't mentioned the use of imaginary numbers, so.. The question is not well defined.

Answer 19

@Mertsj can u explain why is it only 5x4 not 5x4x3

Answer 20

im a she lol but im sorry @Bad2zBone

Answer 21

Because the 3! cancels

Answer 22

exactly but the 2 does not on the bottom so it should be over 4 . but m probably wrong

Answer 23

\[\frac{5!}{3!2!}=\frac{5\times4\times3!}{3!2!}=\frac{5\times4}{2!}=\frac{20}{2\times1}=\frac{20}{2}=10\]

Answer 24

2! = 2 x 1

Answer 25

oh ok thankyou both soooo much :D

Answer 26

yw