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9x^3-16x^2=0. Solve and show all steps.

2 Answers

3 votes

Answer:

the roots are {0, 0, 16/9}

Explanation:

The trick to solving this is to factor out x^2 from both terms on the left:

x^2*9*x - 16x^2=0, or

x^2(9x - 16) = 0

Then, either x^2 = 0 or (9x - 16) = 0.

Thus, the roots are {0, 0, 16/9}

User Vinod Vishwanath
by
3.9k points
5 votes

Answer Step one x=16/9 =1.778

Last step is x²=0

Hope I helped you

User Donny Kurnia
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3.9k points