Question

(x+5)^2 + (x-6)^2 = 2x^2

Answer 1

X^2+10x+25+x^2-12x+36=2x^2
2x^2-2x+61=2x^2
-2x=-61
x=61/2
x=30,5

Answer 2

Let's simplify the equation step by step:

1. Expand the squares: (x + 5)(x + 5) + (x - 6)(x - 6) = 2x^2

2. Apply the distributive property: (x^2 + 10x + 25) + (x^2 - 12x + 36) = 2x^2

3. Combine like terms: x^2 + 10x + 25 + x^2 - 12x + 36 = 2x^2

4. Simplify the equation: 2x^2 - 2x^2 + 10x - 12x + 25 + 36 = 0

5. Combine like terms: -2x + 61 = 0

6. Rearrange the equation: -2x = -61

7. Divide both sides by -2: x = -61 / -2

8. Simplify the expression: x = 61 / 2

Therefore, the solution to the equation (x + 5)^2 + (x - 6)^2 = 2x^2 is x = 61/2 or 30.5.