👤

Make x the subject a(x-a)=a^2

Answer :

Answer:

x = 2a

Step-by-step explanation:

a(x - a) = a² ( divide both sides by a )

x - a = a ( add a to both sides )

x = 2a

Answer:

x = 2a

Step-by-step explanation:

Given equation

[tex]\sf a(x-a)=a^2[/tex]

Make x the subject

expand brackets:

[tex]\sf \implies ax-a^2=a^2[/tex]

Add [tex]\sf a^2[/tex] to both sides:

[tex]\sf \implies ax-a^2+a^2=a^2+a^2[/tex]

[tex]\sf \implies ax=2a^2[/tex]

Divide both sides by a:

[tex]\sf \implies \dfrac{ax}{a}=\dfrac{2a^2}{a}[/tex]

[tex]\sf \implies x=2a[/tex]

Final solution

[tex]\sf x=2a[/tex]

In Trainings: Other Questions