Math, asked by rajput32, 1 year ago

factors of 4x^2+4x-1

Answers

Answered by SarthakSyal
2
(2x+1-√2)(2x+1+√2)
dis is ur answer
and it will come if u do +1 and -1 in the question and solve further.....

SarthakSyal: bcz if u will do +1 nd -1 then u will get 4x²+4x +1 -2
SarthakSyal: nd it can be ritten as (2x+1)² - 2
shruti333: Ok
SarthakSyal: nd 2 can be riiten as (√2)² and now by identity a²-b²
shruti333: Ok
SarthakSyal: (2x+1)²-(√2)² can be ritten as (2x+1-√2)(2x+1+√2)
SarthakSyal: hope now it goes clear to u
shruti333: Yes
SarthakSyal: hmm
shruti333: Hmmm
Answered by shruti333
2
4x^2 + 4x - 1
4x^2 + (2+2)x - 1
4x^2+ 2x + 2x - 1
2x (2x + 1) +1 (2x+1)
(2x+1) (2x+1)
2x = -1, 2x = -1
x = -1/2, x = -1/2

shruti333: Ok
SarthakSyal: 0= a²x² + 4x² + 12x + 4a
SarthakSyal: now acc to the formula i told u
SarthakSyal: 12x can be written as only 2×a×b that is 2×2×2
SarthakSyal: so a= 2
SarthakSyal: nd if we place value of 2 in the question in place of a
SarthakSyal: then we will havw 8x²+16x+8
SarthakSyal: which can be written as ( x+1)
SarthakSyal: sorry....(x+1)(8x+1)
SarthakSyal: which means our ans is correct bcz it forms a perfect square
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