Question

ر =у(у-1)-(у-5)^2=2​

Answer 1

у(у - 1) - (у - 5)² = 2

уу - 1 • у - (у - 5)(у - 5) = 2

у² - у - у(у - 5) - 5(у - 5) = 2

у² - у - уу + 5 • у - 5 • у + 5 • 5 = 2

у² - у - у² + 5у - 5у + 25 = 2

у² - у² - 5у + 5у - у = -25 + 2

-у = -23

у = 23

Answer 2

To solve the equation $р = у(у-1)-(у-5)^2=2$, we first need to expand and simplify the expression:

$р = у(у-1)-(у-5)^2 = у^2 - у - (у^2 - 10у + 25) = у^2 - у - у^2 + 10у - 25 = 10у - у - 25 = 9у - 25$

So, the equation can be simplified to $9у - 25 = 2$.

Now, let's solve for у:

$9у - 25 = 2$

First, let's isolate у on one side of the equation by adding 25 to both sides:

$9у - 25 + 25 = 2 + 25$

$9у = 27$

Next, divide both sides by 9 to solve for у:

$\frac{9у}{9} = \frac{27}{9}$

$у = 3$

Thus, the solution to the equation is $у = 3$.