Question

(х+1)в квадрате =(2-Х)в квадрате

Answer 1

X=0,5...............

Answer 2

To solve the equation ((x + 1)^2) = ((2 - x)^2), we'll first expand the expressions on both sides and then proceed with solving the resulting equation.

Step 1: Expand both sides of the equation.

Left side: ((x + 1)^2) = (x + 1) * (x + 1) = x^2 + 2x + 1

Right side: ((2 - x)^2) = (2 - x) * (2 - x) = 4 - 2x - 2x + x^2 = 4 - 4x + x^2

Step 2: Set the left and right sides equal to each other.

x^2 + 2x + 1 = 4 - 4x + x^2

Step 3: Move all terms to one side of the equation.

x^2 - x^2 + 2x + 4x + 1 - 4 = 0

Step 4: Simplify the equation.

6x - 3 = 0

Step 5: Isolate x.

6x = 3

x = 3 / 6

x = 1/2

So, the solution to the equation ((x + 1)^2) = ((2 - x)^2) is x = 1/2.