Question

positive root of
$\sqrt{3 {x }^{2} + 6 } \: equals \: to \: 9 \: is$
​

Answer 1

Answer:

5

$\sqrt{3 {x }^{2} + 6 } \: equals \: to \: 9 \:$

Step-by-step explanation:

$\sqrt{3 {x }^{2} + 6 } \: = \: 9 \:$

Squaring on both sides.

$3 {x}^{2} + 6 = 81 \\ 3 {x}^{2} + 6 - 81 = 0 \\ 3 {x}^{2} - 75 = 0 \\ 3 {x}^{2} = 75 \\ {x}^{2} = \frac{75}{3} \\ x = \sqrt{25} \\ x = 5$

Hope it helps.