Question

URGENT PLEASE!!!!! What are the solutions to the equation w/2w-3 = 4/w? w = –6 and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = w = 2 and w = 6

Answer 1

$\boxed{\red{\textbf{ \large{SOLUTION}}} }$
$\frac{w}{2w - 3} = \frac{4}{w} \\ \\ \Rightarrow {w}^{2} = 4(2w - 3) \\ \\ \Rightarrow {w}^{2} - 4(2w - 3) = 0 \\ \\ \Rightarrow {w}^{2} - 8w + 12 = 0\\ \\ \Rightarrow {w}^{2} - 6w - 2w + 12 = 0\\ \\ \Rightarrow w(w - 6) - 2(w - 6)= 0\\ \\ \Rightarrow (w - 6)(w - 2) = 0 \\ \\ \Rightarrow w = 6 \: \: and \: \: 2$

$\boxed{\red{\textbf{ \large{w = 6 and 2}}}}$

Answer 2

Answer:

The solutions to the equation is 6 and 2.

Step-by-step explanation:

Given : Equation $\frac{w}{2w - 3}= \frac{4}{w}$

To find : What are the solutions to the equation ?

Solution :

Equation $\frac{w}{2w - 3} = \frac{4}{w}$

Cross multiply,

$\Rightarrow {w}^{2} = 4(2w - 3)$

$\Rightarrow {w}^{2} - 4(2w - 3) = 0$

$\Rightarrow {w}^{2} - 8w + 12 = 0$

$\Rightarrow {w}^{2} - 6w - 2w + 12 = 0$

$\Rightarrow w(w - 6)- 2(w - 6)= 0$

$\Rightarrow (w - 6)(w - 2) = 0$

$\Rightarrow w = 6 \: \: and \: \: 2$

Therefore, the solutions to the equation is 6 and 2.