Given equation is x 2 #x2212;x+2=0 . Any equation of the form a x 2 +bx+c=0 has the solution x= #x2212;b #x00 ...

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Quadratic Formula for Finding Roots

6, x 2-x+2=0

Question

6, x2-x + 2 = 0

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Solution

Given equation is

x 2 −x+2=0 .

Any equation of the form a x 2 +bx+c=0 has the solution

x= −b± D 2a

Here, D= b 2 −4ac is called the discriminant of the quadratic equation.

Therefore,

x= −( −1 )± 1−8 2 = 1± 7 i 2

Thus, x= 1± 7 i 2 .

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