Question

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

Answer 1

Смотри........................

Answer 2

Let's solve the equation step by step.

Expanding the squares: (x+5)^2 = (x+5)(x+5) = x^2 + 10x + 25 (x-3)^2 = (x-3)(x-3) = x^2 - 6x + 9

Substituting these values into the equation: x^2 + 10x + 25 + x^2 - 6x + 9 = 2x^2

Combining like terms: 2x^2 + 4x + 34 = 2x^2

Subtracting 2x^2 from both sides: 4x + 34 = 0

Subtracting 34 from both sides: 4x = -34

Dividing both sides by 4: x = -34/4

Simplifying: x = -17/2

Therefore, the solution to the equation (x+5)^2 + (x-3)^2 = 2x^2 is x = -17/2.