SOLUTION: 5) solve 4x+x(x-1)=0 find the x-intercepts of f(x)=4x+x(x-1) What are the solutions x=………. What are the x-intercepts

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Question 131109: 5) solve 4x+x(x-1)=0
find the x-intercepts of f(x)=4x+x(x-1)
What are the solutions x=……….
What are the x-intercepts

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Distribute



Combine like terms



Factor the left side



Now set each factor equal to zero:
or

or Now solve for x in each case



So our solutions are

or


which means that the x-intercepts are

(-3,0) and (0,0)



Notice if we graph we can see that the roots are and . So this visually verifies our answer.




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