Math, asked by souravraj5082, 1 month ago

. find the root of the equation x²+x-(a+2)(a+1)=0​

Answers

Answered by sejalrathee123
1

Answer:

Hi there!

x² + x – (a + 2) (a + 1) = 0

⇒ x² + [(a + 2) – (a + 1)] x – (a + 2) (a + 1) = 0

⇒ x² + (a + 2) x – (a + 2) x – (a + 2) (a + 1) = 0

⇒ x [x + (a + 2)] – (a + 1) [x + (a + 2)] = 0

⇒ [x – (a + 1)] [x + (a + 2)] = 0

⇒ x – (a + 1) = 0 or x + (a + 2) = 0

⇒ x = a + 1 or x = – (a + 2)

Cheers!

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