Question

(x²+x)²+3(x²+x)-10=0

Answer 1

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Answer 2

To solve the quadratic equation:

(x² + x)² + 3(x² + x) - 10 = 0

Let's simplify it step by step:

1. Expand the square terms: (x⁴ + 2x³ + x²) + 3(x² + x) - 10 = 0

2. Combine like terms: x⁴ + 2x³ + x² + 3x² + 3x - 10 = 0

3. Combine the x⁴ and x³ terms: x⁴ + 2x³ + 4x² + 3x - 10 = 0

Now, we have a quartic equation. Unfortunately, there is no general algebraic formula to solve quartic equations. However, we can attempt to find approximate solutions using numerical methods or calculators.