Question

Find x : (x+1)2 + x2

= 221​

Answer 1

Answer:

4x+1 is answer

Step-by-step explanation:

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Answer 2

Answer:

(x + 1)² + x² = 221

(x² + 2x + 1) + x² = 221

x² + 2x + 1 + x² = 221

2x² + 2x + 1 = 221

2x² + 2x = 221 - 1

2 (x² + x) = 220

x² + x = 220/2

x² + x = 110

x² + x - 110 = 0

x² + 11x - 10x - 110 = 0

x (x + 11) - 10 (x + 11) = 0

(x + 11) (x - 10) = 0

x + 11 = 0 or x - 10 = 0 [Zero Product Rule]

x = -11 or x = 10

x = -11 or 10

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