Solve : ( 4 x - 3/2 X + 1) - 10 (2 X + 1/4 x - 3) = 3.
Answers
(4x - 3/2 x + 1 ) - 10(2x + 1/4 x - 3) = 3
(5/2 x + 1) - 10(9/4 x - 3) = 3
5/2 x + 1 - 45/2 x + 30 = 3
-40/2 x + 31 = 3
-20x = 3 - 31
-20 x = - 28
x = -28/-20
x = 7/5
Answer:
Step-by-step explanation:
Given,
4x-3/2x+1 - 10 (2x + 1/4x - 3) = 3
Multiplying by 10
4x-3/2x+1 - (20x + 10/4x-3) = 3
L.C.M. will be (2x + 1) (4x - 3)
⇒(4x-3)(4x-3) - (2x+10)(2x+1) / (2x+1)(4x-3) = 3
⇒(16x² +9-24x) - (40x²+20x+20x+10) / (8x² +4x-6x-3) = 3
⇒16x² +9-24x-40x² -40x-10 / 8x² -2x-3 = 3
⇒-24x² -64x-1 / 8x²-2x-3 = 3
⇒-24x² - 64x -1 = 3 (8x² - 2x - 3)
⇒-24x² - 64x -1 = 24x² - 6x - 9
⇒-24x² - 64x -1 -24x² + 6x + 9 = 0
-48x² - 58x + 8 = 0
48x² + 58x - 8 = 0
Taking out 2 as common:
2 (24x² + 29x - 4) = 0
Splitting the middle term:
24x² + 32x - 3x - 4 = 0
8x (3x + 4) -1 (3x + 4) = 0
(8x - 1) (3x + 4) = 0
8x - 1 = 0
∴ x = 1/8
3x + 4 = 0
∴ x = -4/3
x = 1/8 or -4/3