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Algebra 1

9.1.1 Equations with Quadratic Expressions on Both Sides of the Equal Sign

Algebra 19.1.1 Equations with Quadratic Expressions on Both Sides of the Equal Sign
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Warm Up

In each equation, what expression could be substituted for a a so the equation is true for all values of x x ?

1.

x 2 = a 2 x 2 = a 2

2.

( 3 x ) 2 = a 2 ( 3 x ) 2 = a 2

3.

a 2 = 7 x · 7 x a 2 = 7 x · 7 x

4.

25 x 2 = a 2 25 x 2 = a 2

5.

a 2 = 1 4 x 2 a 2 = 1 4 x 2

6.

a 2 = ( x + 1 ) 2 a 2 = ( x + 1 ) 2

7.

( 2 x − 9 ) ( 2 x − 9 ) = a 2 ( 2 x − 9 ) ( 2 x − 9 ) = a 2

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