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nasty-shy [4]
2 years ago
15

Find the roots of the quadratic equation w+w²/3=0​

Mathematics
1 answer:
Daniel [21]2 years ago
8 0

I assume that the equation you mean is below:

\large \boxed{w +  \frac{ {w}^{2} }{3}  = 0}

To find roots for this equation, we have to get rid of the denominator. We can do by multiplying both sides by 3.

\large{w(3) +  \frac{ {w}^{2} }{3} (3) = 0(3)} \\  \large{3w +  {w}^{2}  = 0}

Factor w-term out (common factor)

\large{w(3 + w) = 0} \\  \large{w = 0 \:  \:  \:  or \:  \:  \: 3 + w = 0} \\  \large{w = 0, - 3}

Answer

  • The roots of quadratic equation are 0,-3
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