Find the roots of the equation x2-5x+6 = 0 using the quadratic formula?

Given

x2-5x+6 = 0

Find out

We need to find out the roots of the equation

Solution

Comparing the equation with ax2+bx+c = 0 gives,

a = 1, b = -5 and c = 6

b2-4ac = (-5)2-4×1×6 = 1

Roots of the equations are

−b +√( b2 − 4ac) /2a

= 5 + 12 = 62

= 3

Another root

−b -√( b2 − 4ac) /2a

= 5 − 12

= 42

= 2

Answer

Hence the roots of the equation are 3 and 2

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