Answer:
We conclude that the value of 'a' will be:
![a=(x+b^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9doufl5dcivoseihch1che03jyhg7znq67.png)
Hence, option (2) is true.
Explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
![x=2a-b^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/aj6xki49qq0w7k7b0u1rh5xm0qkourw852.png)
switching sides
![2a-b^2=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/v4u1mj42yi283wi34zrqrop55l2i0afozk.png)
Add b² to both sides
![2a-b^2+b^2=x+b^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/kwh6v5x0rr0a74b5sztsniy6r7g5apugyt.png)
Simplify
![2a=x+b^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/59auuf4pdehsixoip560tzey1fk65olyyd.png)
Divide both sides by 2
![(2a)/(2)=(x)/(2)+(b^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/qe1iqkd8evku6l10kw3vi6vttwiqp46o2a.png)
Simplify
![a=(x+b^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9doufl5dcivoseihch1che03jyhg7znq67.png)
Therefore, we conclude that the value of 'a' will be:
![a=(x+b^2)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9doufl5dcivoseihch1che03jyhg7znq67.png)
Hence, option (2) is true.