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