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

Algebra ->  Quadratic Equations and Parabolas -> 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       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2Bx%28x-1%29=0 Start with the given equation


4x%2Bx%5E2-x=0 Distribute



x%5E2%2B3x=0 Combine like terms



x%28x%2B3%29=0 Factor the left side



Now set each factor equal to zero:
x=0 or x%2B3=0

x=0 or x=-3 Now solve for x in each case



So our solutions are

x=-3 or x=0


which means that the x-intercepts are

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



Notice if we graph y=x%5E2-3x we can see that the roots are x=-3 and x=0 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2%2B3x%29+