These thre questions. Correct answer will be marked brainliest.
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here is your full solution hope it will help you
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DebashishJoshi:
you can zoom it
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hey
#your Ans
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Ans 11)
==> √(2x+7) = X+2
squaring both side, we get
==> 2x+7 = ( X+2)^2
==> 2x+7 = x^2 +4 + 4x
==> x^2 +4x -2x +4 -7 =0
==> x^2 +2x -3 =0
factorise
==> x^2 +3x-x -3 =0
==> X(X+3) -1(X+3)=0
==> (x-1) (X+3) =0 Ans
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Ans12)
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==> 2√(2x+1) = 1+2x
squaring both side
==> 4×(2x+1) = 1 +4x^2 + 4x
==> 8x+4 = 4x^2 +1 +4x
==> 4x^2 +4x -8x +1-4
==> 4x^2 -4x -3=0
==> 4x^2 -6x +2x -3 =0
==> 2x(2x -3) +1(2x-3) =0
==> (2x+1) (2x-3) Ans
_______________________________
Ans 13
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==> squaring both side
4x-3 +2x+3 +2(√(4x-3)×√(2x+3) = 36
==> 6x +2√(8x^2 +6x -9) = 36
==> 2√(8x^2 +6x -9) =36- 6x
again squaring,
4(8x^2 +6x -9) = 1296 +36x^2 - 432x
==> 32x^2 +24x -36 = 1296 +36x^2 -432x
==> 36x^2 -32x^2 -432x -24x +1296+36 = 0
==> 4x^2 -456x +1332= 0
=> x^2 - 114x + 333 = 0
==> x^2 -111x -3x +333 =0
==> x( X -111) -3( x-111) =0
==> (x-3) (X -111)
X = 3,111
thank you!
#your Ans
____________
Ans 11)
==> √(2x+7) = X+2
squaring both side, we get
==> 2x+7 = ( X+2)^2
==> 2x+7 = x^2 +4 + 4x
==> x^2 +4x -2x +4 -7 =0
==> x^2 +2x -3 =0
factorise
==> x^2 +3x-x -3 =0
==> X(X+3) -1(X+3)=0
==> (x-1) (X+3) =0 Ans
_______________________________
Ans12)
_________
==> 2√(2x+1) = 1+2x
squaring both side
==> 4×(2x+1) = 1 +4x^2 + 4x
==> 8x+4 = 4x^2 +1 +4x
==> 4x^2 +4x -8x +1-4
==> 4x^2 -4x -3=0
==> 4x^2 -6x +2x -3 =0
==> 2x(2x -3) +1(2x-3) =0
==> (2x+1) (2x-3) Ans
_______________________________
Ans 13
__________
==> squaring both side
4x-3 +2x+3 +2(√(4x-3)×√(2x+3) = 36
==> 6x +2√(8x^2 +6x -9) = 36
==> 2√(8x^2 +6x -9) =36- 6x
again squaring,
4(8x^2 +6x -9) = 1296 +36x^2 - 432x
==> 32x^2 +24x -36 = 1296 +36x^2 -432x
==> 36x^2 -32x^2 -432x -24x +1296+36 = 0
==> 4x^2 -456x +1332= 0
=> x^2 - 114x + 333 = 0
==> x^2 -111x -3x +333 =0
==> x( X -111) -3( x-111) =0
==> (x-3) (X -111)
X = 3,111
thank you!
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