Question

Solve for x: , 7,5

3

10

7

6

5

4

=

10​

Answer 1

Answer:

the correct answer is 3

Answer 2

$\frac{x - 4}{x + 5} + \frac{x + 6}{x - 7} = \frac{10}{3}$

$\frac{(x - 4)(x - 7) + (x + 6)(x + 5)}{(x + 5)(x - 7)} = \frac{10}{3}$

$\frac{ {x}^{2} - 7x - 4x - 28 + {x}^{2} + 5x + 6x + 30 }{ {x}^{2} - 7 x + 5x - 35 } = \frac{10}{3}$

$\frac{ {x}^{2} - 11x + {x}^{2} + 11x + 2}{ {x}^{2} - 2x - 35 } = \frac{10}{3}$

$\frac{2 {x}^{2} + 2}{ {x}^{2} - 2x - 35} = \frac{10}{3}$

$(2 {x}^{2} + 2)3 = 10( {x}^{2} - 2x - 35)$

$6 {x}^{2} + 6 = 10{x}^{2} - 20x - 350$

$divide \: \: by \: \: 2$

$3 {x}^{2} + 3 = 5 {x}^{2} - 10x -175$

$175 + 3= 5{x}^{2} - 3 {x}^{2} - 10x$

$178 = 2 {x}^{2} - 10x$

$2 {x}^{2} - 10x - 178 = 0$

$divide \: \: by \: \: 2$

${x}^{2} - 5x - 89 = 0$

now, solve this quadratic equation and

you will get the answer....