# SOLUTION: Graph the system of equations y=x^4-3x³ and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!!

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Graph the system of equations y=x^4-3x³ and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!!      Log On

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 Question 166391: Graph the system of equations y=x^4-3x³ and y=2x-6. Find the points of intersection. Give an exact answer. PLEASE HELP ME! I don't know what to do!!Answer by HyperBrain(694)   (Show Source): You can put this solution on YOUR website!y=x^4-3x³ and y=2x-6 Replace the y in the first equation by 2x-6 2x-6=x4-3x3 x4-3x3-2x+6=0 (x4-3x3)-(2x-6)=0 x3(x-3)-2(x-3)=0 (x3-2)(x-3) Let x-3=0, then x=3 Let x3-2=0, then x=cube root of 2>>get calculator... i lost mine Now, we have the x-coordinates of the two intersections. To find the corresponding y-coordinates, use y=2x-6. So, if x=3, y=2(3)-6=6-6=0 if x=2*(cube root of 2)-6>>please! calculator again.... So the points of intersections are (3,0) and (cube root of 2, 2*(cube root of 2)-6) Power up, HyperBrain! Stop this mess! http://uselessplastic.wordpress.com/ http://uselessplastic.multiply.com/