SOLUTION: Solve the following systems of equations. {{{ x^3+4x=y }}} {{{ 4x^2=y }}}

Algebra ->  Systems-of-equations -> SOLUTION: Solve the following systems of equations. {{{ x^3+4x=y }}} {{{ 4x^2=y }}}      Log On


   

Question 364841: Solve the following systems of equations.
+x%5E3%2B4x=y+
+4x%5E2=y+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since they both equal y, set them equal to each other.
+x%5E3%2B4x=+4x%5E2+
x%5E3-4x%5E2%2B4x=0
x%28x%5E2-4x%2B4%29=0
x%28x-2%29%5E2=0
Two solutions:
highlight%28x=0%29
y=4%280%29%5E2
highlight%28y=0%29
.
.
x-2=0
highlight_green%28x=2%29
y=4%282%29%5E2
highlight_green%28y=16%29
.
.
.