Question

please answer this question which is in the image ​

Answer 1

$\mathfrak{\huge{Answer:-}} \\ \frac{14 {x}^{2} - 6x + 8}{10 {x}^{2} + 4x + 7 } = \frac{7x - 3}{5x + 2} \\ Cross \: multiply \\ (5x + 2)(14 {x}^{2} - 6x + 8) = (7x - 3)(10 {x}^{2} + 4x + 7) \\ 5x(14 {x}^{2} - 6x + 8) + 2(14 {x}^{2} - 6x + 8) = 7x(10 {x}^{2} + 4x + 7) - 3(10 {x}^{2} + 4x + 7) \\ 70 {x}^{3} - 30 {x}^{2} + 40x + 28 {x}^{2} - 12x + 16 = 70 {x}^{3} + 28 {x}^{2} + 49x - 30 {x}^{2} - 12x - 21 \\ 70 {x}^{3} - 70 {x}^{3} - 30 {x}^{2} +30 {x}^{2} + 28 {x}^{2} - 28 {x}^{2} + 40x - 12x - 49x + 12x + 16 + 21 = 0 \\ ( - 9x) + 37 = 0 \\ ( - 9x) = ( - 37) \\ 9x = 37 \\\boxed{\boxed{\large{ x = \frac{37}{9} }}}$

Answer 2

Step-by-step explanation: LP

let √(x+13)=a

and √(x-1)=b

now,

(a+b)/(a-b)=3/1

on coponendo dividendo,

{(a+b)+(a-b)}/(a+b)-(a-b)= (3+1)/(3-1)

(a+b+a-b)/(a+b-a+b)=4/2

2a/2b=4/2

a/b= 2

√(x+13)/√(x-1)= 2

√{(x+13)/(x-1)}=2

(x+13)/(x-1)=2²

(x+13)/(x-1)= 4

x+13= 4(x-1)

x+13= 4x-4

3x= 17

x=17/3

#666