find value

**mark** · September 23rd 2009, 09:00 AM

the question i've got is:

find the exact value of the x-coordinate at each of the points of intersection of the following:

the line $3x + 4y = 9$ and the curve $y = 3x^2 - 7x + 2$

i've got it down to $\frac{25}{4} \pm \sqrt {\frac{673}{16}}$ but i'm not sure how to complete it. any help would be appreciated. thanks

**masters** · September 23rd 2009, 10:20 AM

Originally Posted by mark

the question i've got is:

find the exact value of the x-coordinate at each of the points of intersection of the following:

the line $3x + 4y = 9$ and the curve $y = 3x^2 - 7x + 2$

i've got it down to $x=\frac{25}{4} \pm \sqrt {\frac{673}{16}}$ but i'm not sure how to complete it. any help would be appreciated. thanks

Hi mark,

I'm not getting the same thing you got when you solved for x. Substitute the second equation into the first.

$3x+4(3x^2-7x+2)-9=0$

Solve this for x.

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