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

Feb 28, 2016

$j = 16$

#### Explanation:

Given:$\text{ "sqrt(j) + sqrt(j)+14" "=" } 3 \sqrt{j} + 10$

Write as:$\text{ " 2sqrt(j)+14" "=" } 3 \sqrt{j} + 10$

Collecting like terms

$\text{ "3sqrt(j)-2sqrt(j)" " =" } 14 - 10$

$\sqrt{j} \text{ "=" } 4$

Squaring both sides

$j = {4}^{2} = 16$

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 : $\sqrt{j} = 4$

now square both sides.

$\Rightarrow {\left(\sqrt{j}\right)}^{2} = {4}^{2} \Rightarrow j = 16$