Math, asked by Anonymous, 6 months ago

Q:-factorise and hence find roots
 {x}^{2} + {(x + 1) }^{2} = 365

Answers

Answered by Anonymous
25

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Q:-factorise and hence find roots

 {x}^{2} + {(x + 1) }^{2} = 365

\huge\tt\underline\blue{Answer }

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⟹ {x}^{2}  +  {(x + 1)}^{2}  = 365

⟹ {x}^{2}  +  {x}^{2}  + 2x + 1 = 365

⟹2 {x}^{2}  + 2x - 364 = 0

⟹ {x}^{2}  + x - 182 = 0

⟹ {x}^{2}  + 14x - 13x - 182 = 0

⟹x(x + 14) - 13(x + 14) = 0

⟹(x + 14)(x - 13) = 0

⟹x  + 14 = 0

⟹x - 13 = 0

⟹x =  - 14

⟹x = 13

HOPE IT HELPS YOU..

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Answered by damulakshmi99
0

Answer:

x= 13

x = 14

Step-by-step explanation:

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