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Question

2, 2x2 + x + 1 = 0

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Solution

We have 2 x 2 +x+1=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 2 4×2×1 2×2 = 1± 7 4 = 1± 7 i 4

Thus, x= 1± 7 i 4


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