Question

How do you solve `sqrtj + sqrtj + 14 = 3sqrtj +10`?

Answer 1

`j=16`

Explanation:

Given:`" "sqrt(j) + sqrt(j)+14" "=" "3sqrt(j)+10`

Write as:`" " 2sqrt(j)+14" "=" "3sqrt(j)+10`

Collecting like terms

`" "3sqrt(j)-2sqrt(j)" " =" "14-10`

`sqrt(j)" "=" "4`

Squaring both sides

`j=4^2=16`

Answer 2

j = 16

Explanation:

Collect terms in j to the left and numbers to the right.

hence `2sqrtj - 3sqrtj = 10 - 14 → -sqrtj = -4`

multiply both sides by (-1) to obtain : `sqrtj = 4`

now square both sides.

`rArr (sqrtj)^2 = 4^2 rArr j = 16`