SOLUTION: Solve the equation. Write any complex solutions in standard form for a complex number. (Enter your answers as a comma-separated list.) 8x^3+4x^2-26x=0

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Solve the equation. Write any complex solutions in standard form for a complex number. (Enter your answers as a comma-separated list.) 8x^3+4x^2-26x=0       Log On


   



Question 1030340: Solve the equation. Write any complex solutions in standard form for a complex number. (Enter your answers as a comma-separated list.)
8x^3+4x^2-26x=0


Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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Solve the equation. Write any complex solutions in standard form for a complex number. (Enter your answers as a comma-separated list.)
8x^3+4x^2-26x=0
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Factor left side

2x%2A%284x%5E2+%2B+2x+-+13%29 = 0.

One root is x = 0.
To find other roots, you need solve this quadratic equation

4x%5E2+%2B+2x+-+13 = 0.

Use quadratic formula. The two other roots are 

x%5B1%2C2%5D = %28-1+%2B-+sqrt%2853%29%29%2F2.