Question

(х-3)^2-2х^2=9-(х+1)^2​

Answer 1

x^2-6x+9-2x^2= 9-(x^2 +2x+1)
.
x^2-6x+9-2x^2= 9-x^2 -2x-1
.

x^2-6x+9-2x^2-9+x^2 +2x+1=0
.
-4x+1=0
.
-4x=-1
.
X=0,25

Answer 2

х^2-6х+9-4x^2=9-(x^2+2x+1)

x^2-6x-4x^2=-x^2-2x-1

-3x^2-6x=-x^2-2x-1

-3x^2-6x+x^2+2x+1=0

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

2x^2+4X-1=0

x=  пишешь как дробь в числителе -4±$\sqrt{4^{2} -4*2*(-1)$ в знаменателе 2*2

х=в числителе -4±$\sqrt{16+8}$ в знаменателе 4

х=в числителе -4±2$\sqrt{6}$ в знаменателе 4

х1= в числителе -2-$\sqrt{6}$ в знаменателе 2

х2= в числителе -2+$\sqrt{6}$ в знаменателе 2

Answer 3

Let's solve the equation step-by-step:

(х - 3)^2 - 2х^2 = 9 - (х + 1)^2

1. Expand the squared terms: (x - 3)(x - 3) - 2x^2 = 9 - (x + 1)(x + 1)

2. Simplify the squared terms: (x^2 - 6x + 9) - 2x^2 = 9 - (x^2 + 2x + 1)

3. Distribute the negative sign on the right side of the equation: x^2 - 6x + 9 - 2x^2 = 9 - x^2 - 2x - 1

4. Combine like terms on both sides: -x^2 - 6x + 9 = 8 - x^2 - 2x

5. Move the variables to one side of the equation: -x^2 + x^2 - 6x + 2x = 9 - 8

6. Simplify and solve for x: -4x = 1

7. Divide by -4 to solve for x: x = 1/(-4)

So, the solution to the equation is: x = -1/4