(x2−25)2+(x2+2x−15)2=0

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вопрос

To solve this equation, we first need to expand and simplify both terms on the left side:

(x^2 - 25)^2 + (x^2 + 2x - 15)^2
= (x^4 - 50x^2 + 625) + (x^4 + 4x^3 - 30x^2 + 4x^3 + 16x^2 - 120x + 225)
= 2x^4 + 8x^3 - 80x^2 - 120x + 850

Now, we set this expression equal to 0 and solve for x:

2x^4 + 8x^3 - 80x^2 - 120x + 850 = 0

Unfortunately, this equation does not factor easily and needs to be solved using numerical methods such as graphing or a numerical solver.