What is the quadratic formula ? Definition and examples.

The quadratic formula is the formula that we use to solve a quadratic equation that has the form :  ax2 + bx + c = 0

Quadratic formula


Notice that a cannot be equal to 0 since any number divided by 0 has no answer or is undefined.

Notice also that b2 - 4ac has to be at least 0.

How to use the quadratic formula


Solve 2x2 - 3x + 1

a = 2, b = -3, and c = 1

b2 - 4ac = (-3)2 - 4(2)(1) = 9 - 8 = 1

√1 = 1

x = (- -3  ± 1) / 2(2) 

x = (3  ± 1) / 4

x1 = (3 + 1) / 4 = 4 / 4 = 1

x2 = (3 - 1) / 4 = 2 / 4 = 0.5

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