Question

What is the Solution?

Answer 1

w = 2 and w = 6

Explanation:

Given

`(w)/(2w-3)` =
`(4)/(w)` ( cross- multiply )

w² = 4(2w - 3) ← distribute

w² = 8w - 12 ( subtract 8w - 12 from both sides )

w² - 8w + 12 = 0 ← in standard form

(w - 2)(w - 6) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 2 = 0 ⇒ w = 2

w - 6 = 0 ⇒ w = 6

Answer 2

Answer: w=2 and 2=6

Explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer