Solving quadratic equation by using the square root method

 Solving quadratic equation by using the square root method

Example 1: Solve x² = 27

Step 1:

 get the square root of both sides 

√x^2 = ± √27

Step 2: 

since 27 doesn't have a square root we find its perfect square

x = ± √9 • 3

Step 3:

 Once you find its perfect square factor it

x = ± √9  √3

Step 4:

 get the square root of the perfect square

Answer: x = ± 9√3

Example 2: solve 2(y - 8)² = 50

Step 1:

 divide both sides by 2

√(y - 8)² = ± √25

Step 2:

 get the square root of both sides

y - 8 = + -5

Step 3:

 since  5 may be + or - we have 2 equations

y - 8 = 5 

add 8 + 5

y = 13

y - 8 = -5

subtract 8 - 5

y = 3

the roots of the equation are: 13 and 3