Question

(x-1)(x+1)=2(x-5)^2-x(x-3)

Answer 1

Решение:

$></p> <p><strong>Ответ: x = 3.</strong></p> </div> <div class=$ 0 0

Answer 2

Let's simplify the equation step by step:

Starting with the equation: (x - 1)(x + 1) = 2(x - 5)^2 - x(x - 3)

First, expand the products on both sides of the equation:

(x^2 - 1) = 2(x^2 - 10x + 25) - x^2 + 3x

Now, distribute the constants in the right-hand side:

x^2 - 1 = 2x^2 - 20x + 50 - x^2 + 3x

Now, simplify the equation by combining like terms:

x^2 - 1 = x^2 - 17x + 50

Now, subtract x^2 from both sides of the equation to cancel out the x^2 terms:

-1 = -17x + 50

Next, subtract 50 from both sides of the equation to isolate the variable:

-1 - 50 = -17x

-51 = -17x

Now, divide both sides by -17 to solve for x:

x = -51 / -17

x = 3

So, the solution to the equation is x = 3.