Question

If the square root of x square + nine equal to x +1 solve for x

Answer 1

Simplify square root of x^2-9

√

x

2

−

9

Rewrite

9

as

3

2

.

√

x

2

−

3

2

Since both terms are perfect squares, factor using the difference of squares formula,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

x

and

b

=

3

.

√

(

x

+

3

)

(

x

−

3

)