Question

if x is equal to root 7 ​

Answer 1

The x = 7 + √3 is equal to x = 9 + 2 √ 3  / 23

Step-by-step explanation:

Complete statement:

If x is equal to root 7 + root 3 show that x minus 4 by x is equal to 2 root 3?

Solution:

Let x = 7 + √3

To prove:

x - 4 / x = 2 √ 3

7 + √ 3 - 4 / 7 + √ 3 = 2 √  3

= 3 + √ 3 x 7 - √ 3 / 7  + √ 3 x 7 - √ 3

= 3 ( 7 - √ 3) + √ 3 ( 7 - √ 3 ) / (7)^2 - (√ 3)^2

= 21 - 3 (√ 3)  + 7 √ 3 - 3/ 49 -m 3

= 18 + 4√ 3 / 46

= 2 ( 9 + 2 √ 3) / 23

= 9 + 2 √ 3  / 23

Thus the x = 7 + √3 is equal to x = 9 + 2 √ 3  / 23