# Solve for A square root of A-1-4/(4^2)=1/2 A-1-442=12
Cancel the common factor of 4 and 42.
Factor 4 out of 4.
A-1-4(1)42=12
Cancel the common factors.
Factor 4 out of 42.
A-1-4(1)4⋅4=12
Cancel the common factor.
A-1-4⋅14⋅4=12
Rewrite the expression.
A-1-14=12
A-1-14=12
A-1-14=12
Move all terms not containing A-1 to the right side of the equation.
Add 14 to both sides of the equation.
A-1=12+14
To write 12 as a fraction with a common denominator, multiply by 22.
A-1=12⋅22+14
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 12 and 22.
A-1=22⋅2+14
Multiply 2 by 2.
A-1=24+14
A-1=24+14
Combine the numerators over the common denominator.
A-1=2+14
Add 2 and 1.
A-1=34
A-1=34
To remove the radical on the left side of the equation, square both sides of the equation.
A-12=(34)2
Simplify each side of the equation.
Multiply the exponents in ((A-1)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(A-1)12⋅2=(34)2
Cancel the common factor of 2.
Cancel the common factor.
(A-1)12⋅2=(34)2
Rewrite the expression.
(A-1)1=(34)2
(A-1)1=(34)2
(A-1)1=(34)2
Simplify.
A-1=(34)2
Apply the product rule to 34.
A-1=3242
Raise 3 to the power of 2.
A-1=942
Raise 4 to the power of 2.
A-1=916
A-1=916
Move all terms not containing A to the right side of the equation.
Add 1 to both sides of the equation.
A=916+1
Write 1 as a fraction with a common denominator.
A=916+1616
Combine the numerators over the common denominator.
A=9+1616
Add 9 and 16.
A=2516
A=2516
The result can be shown in multiple forms.
Exact Form:
A=2516
Decimal Form:
A=1.5625
Mixed Number Form:
A=1916
Solve for A square root of A-1-4/(4^2)=1/2

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