i'm right! :)

humakhan

Junior Member
Joined
May 19, 2005
Messages
182
i know i'm right.... :)

solve:
3x = 18 - x^2

take x^2 to other side and subtract
so then its.

2x^2 = 18

18 divided by 2
leaves...

x^2 = 9
x = 3

check :

3 ( 3 ) = 18 ( 3 ) ^2
9 = 18 - 9
9 = 9
correct :)
 
Sorry but...
3x = 18 - x^2
take x^2 to other side and subtract
so then its.
2x^2 = 18
but what happened to the 3x???
3x = 18 - x^2
take x^2 to other side and subtract
so then its.
x^2+3x = 18 then
x^2+3x-18=0
Can you factor that to get two values for x? You have a head start 'cause you proved that one of them is 3 so one factor is x-3.
 
G'day, humakhan!

Unfortunately, you're not right :(.

x^2 = 9
x = 3
(-3)^2 also equals 9. The answer is x=3 or x=-3. If you check x=-3 as you did with x=3, you'll see that it doesn't work for the original equation..

3x = 18 - x^2
You need to recognise this as a quadratic equation. We have an x^2 term.

The standard form of a quadratic equation is ax^2 + bx + c = 0. You want to arrange it in this way.

If we go the way you were...

Transfer the x^2 term to the left-hand side by adding it to both sides:
3x + x^2 = 18

Transfer 18 to the left-hand side by subtracting:
3x + x^2 - 18 = 0

ie. x^2 + 3x -18 = 0

Then can you factorise and solve for x?

We cannot subtract 3x from x^2 (or whatever it was you did :wink:) because x is not necessarily the same as x^2 just as 3^2=9 is not equal to 3.

Edit: Gene <-> too quick.
Edit: Can't get much closer! Gene
 
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