Question

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

Answer 1

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