A quadratic equation is set up in the form of ax² + bx +c First set equation = to 0 0= x² - 5x - 24 Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a [10 plus or minus √(25² - 4×1×24)] ÷ 2 Solve for inner parenthesis first √625- 96 = √529 Now set up two equations (10 + √529) ÷2 = x = 16.5 (10 - √529) ÷2 = x = -6.5 So therefore x = 16.5 and -6.5