Question

derive the quadratic formula using completing the square method​

Answer 1

Answer:

solved

Step-by-step explanation:

ax² + bx + c = 0

x² + (b/a)x + c/a = 0

x² + (b/a)x = - c/a

x² + (b/a)x  +  b²/4c²  = b²/4c²  - c/a

( x + b/2a )² = ( b² - 4ac) /4a²

(x + b/2a ) = ±√( b² - 4ac) /√4a²

x + b/2a  = ±√( b² - 4ac) /2a

x   =  - b/2a  ±√ (b² - 4ac) /2a

x   = { - b   ±√  (b² - 4ac)} ÷ 2a