Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
