Question

2x-(7-5x)\9x-(3+4x)=7/6​

Answer 1

Answer:

• x = 1.024848
• x = -0.341514

Step-by-step explanation:

$2x - \bigg( \dfrac{7 - 5x}{9x(3x - + 4x)} \bigg) = \dfrac{7}{6}$

• Simply this and remove brackets.

$\implies \: 2x + \dfrac{5x - 7}{5x - 3} = \dfrac{7}{6}$

• Multiplying all the terms by 5x-3.

$\implies \: 2x(5x - 3) + 5x - 7 = \frac{7(5x - 3)}{6}$

$\implies \: {10x}^{2} - x - 7 = \frac{35}{6} x + \frac{ - 7}{2}$

• Subtracting

$\implies \: 10 {x}^{2} - x - 7 -( \frac{35}{6} x + \frac{ - 7}{2} ) = \frac{35}{6} x + - \frac{7}{2} - ( \frac{35}{6} x + \frac{ - 7}{2} )$

$\implies \: {10x}^{2} + \frac{ - 41}{6} x \frac{ - 41}{6} x + - \frac{7}{2} = 0$

$\rightarrow \sf a = 10$

$\sf \rightarrow \: b = 6.83333333333$

$\sf \rightarrow \: c = 3.5$

$\implies \: {10x}^{2} + ( - 6.83333)x + - 3.5 = 0$

$\implies \: x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

$\implies \: x = \frac{ - ( - 6.83333) \pm \: \sqrt{( - 6.83333 {)}^{2} - 4(10)( - 3.5)} }{2(10)}$

$\implies \: x = \frac{6.83333 \pm \: \sqrt{186.69} }{20}$

$\implies \: x = 1.0248475439686526 - 0.3415142106353193$

$x = 1.024848$

$x = 0.341514$

What You Need To Know ?

1. Don't round off your answer untill you reach final answer.
2. Don't approach for a lengthy method , you will end up performing more mistakes.
3. LEAVE cancelling part for final answer.

Answer 2

Answer:

2x-(7-5x)/9x-(3+4x)=7/6

x=3