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Quadratic formula is the formula used in order to get the solutions of a quadratic equation. When a quadratic

equation is in the general form of ax2 + bx + c = 0, then we can use the quadratic formula to solve for ‘x’.

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Example 1:Use the quadratic formula and solve for ‘x’ in the equation, x2+ 3x+ 2=0

Given quadratic equation-> x2 + 3x +2 = 0

Since the quadratic equation is in the form of ax2 + bx + c = 0,

Hence -> a= 1, b= 3, c= 2

Quadratic formula-> x = [-b ± √(b2-4ac)]/ 2a

x= [-3±√(9 -8)]/ 2

x = (-3± 1)/2

Hence the solutions are -> x = -1 and x = -2

Example 2:Use the quadratic formula and solve for ‘x’ in the equation, x2- 2x- 15=0

Given quadratic equation-> x2 -2x -15 = 0

Since the quadratic equation is in the form of ax2 + bx + c = 0,

Hence -> a= 1, b= -2, c= -15

Quadratic formula-> x = [-b ± √(b2-4ac)]/ 2a

x= [2 ± √(4 +60)]/ 2

x = (2± 8)/2

Hence the solutions are -> x = 5 and x = -3