The values of w are -4 and -5
How to solve equation
11 - 20/w = w + 20
Collect like terms
w + 20/w= -20+11
w + 20/w = -9
Multiply both sides by w to clear the fraction:
20 + w² = -9w
w² + 9w +20 = 0
To solve the quadratic equation w² + 9w + 20 = 0, we can factor it or use the quadratic formula.
Factorization:
(w + 5)(w + 4) = 0
Setting each factor to zero gives the solutions:
w + 5 = 0 or w + 4 = 0
So, w = -5 or w = -4.