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

2 Answers
Tony B
Feb 28, 2016

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

Jim G.
Feb 28, 2016

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

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