Solve by extracting square roots. List both The exact solutions and decimal solutions to two decimal places

Question

(2x-9)^2 =13

Answer 1

(2x - 9)² = 13

 

Take square root of both sides.

 

2x - 9 = ±√13

 

Add 9 to both sides.

 

2x = 9 ± √13

 

Divide both sides by 2.

 

x = (9 ± √13)/2

 

 

The exact solutions are x = (9 + √13)/2 and x = (9 - √13)/2.

 

The decimal solutions rounded to two decimal places are x = 6.30 and x = 2.70.