Question

In the given equation, $\text{g}$ indicates the number of goals scored by a club in a soccer match. Find the value of $\text{x}$ if they scored 3 goals in that match.
$\frac{\sqrt{2\text{x}+4-7}}{3}=\text{g}$

• A. 6
• B. 15
• C. 30
• D. 42

Answer 1

The correct option is D 42

Given:
$\frac{\sqrt{2\text{x}+4-7}}{3}=\text{g}$

Squaring on both sides

$⟹\frac{2\text{x}+4-7}{9}={\text{g}}^2$

Multiply by 9 on both sides

$⟹2\text{x}+4-7=9\left({\text{g}}^2\right)$

$⟹2\text{x}-3=9\left({\text{g}}^2\right)$

$⟹2\text{x}-3=9\times 3^2$

$⟹2\text{x}-3=9\times 9$

$⟹2\text{x}-3=81$

$⟹2\text{x}=81+3$

$⟹2\text{x}=84$

$⟹\text{x}=\frac{84}{2}$

$⟹\text{x}=42$