x² - 9x + 2 = 0
The quadratic formula is: x = [ -b ± √(b² - 4·a·c) ] / ( 2·a )
The formula must be in this order: ax² + bx + c = 0
Your problem is in the right order; so a = 1; b = -9; and c = 2.
Putting those values into the equation: x = [ -b ± √(b² - 4·a·c) ] / ( 2·a )
x = [ --9 ± √( (-9)² - 4·(1)·(2) ) ] / ( 2·(1) )
x = [ 9 ± √( 81 - 8 ) ] / ( 2)
x = [ 9 ± √(72) ] / ( 2)
Breaking down √(72) = √36·√2 = 6√2
x = [ 9 ± 6√2 ] / 2
This can be split into two parts: [ 9 + 6√2 ] / 2 and [ 9 - 6√2 ] / 2
x² - 9x + 2 = 0
The quadratic formula is: x = [ -b ± √(b² - 4·a·c) ] / ( 2·a )
The formula must be in this order: ax² + bx + c = 0
Your problem is in the right order; so a = 1; b = -9; and c = 2.
Putting those values into the equation: x = [ -b ± √(b² - 4·a·c) ] / ( 2·a )
x = [ --9 ± √( (-9)² - 4·(1)·(2) ) ] / ( 2·(1) )
x = [ 9 ± √( 81 - 8 ) ] / ( 2)
x = [ 9 ± √(72) ] / ( 2)
Breaking down √(72) = √36·√2 = 6√2
x = [ 9 ± 6√2 ] / 2
This can be split into two parts: [ 9 + 6√2 ] / 2 and [ 9 - 6√2 ] / 2