SOLUTION: Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.) x3 + 9x2 + 5x = -45

Algebra ->  Equations -> SOLUTION: Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.) x3 + 9x2 + 5x = -45       Log On


   

Question 993141: Solve the equation. Check your solutions. (Enter your answers as a comma-separated list.)
x3 + 9x2 + 5x = -45
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve the equation x%5E3+%2B+9x%5E2+%2B+5x = -45.
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x%5E3+%2B+9x%5E2+%2B+5x+%2B+45 = 0.

Apply the factorization method.  To make factorization, apply grouping:

x%5E3+%2B+9x%5E2+%2B+5x+%2B+45 = x%5E3+%2B+9x%5E2 + 5x+%2B+45 = x%5E2%2A%28x%2B9%29 + 5%2A%28x%2B9%29 = %28x%5E2+%2B+5%29%2A%28x+%2B+9%29.

The only real root is  x = -9.

There is no other real roots.

Other complex roots are  sqrt%285%29%2Ai  and  -sqrt%285%29%2Ai.