A-1-442=12

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

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

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

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