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Solve the equation:x^2+3x+9=0...

Solve the equation:`x^2+3x+9=0`

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The correct Answer is:
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Given equation is `x^(2) +3x+9=0`
Here, `A=1, B=3, C=9`
Discriminant ` D=B^(2)-4AC=(3)^(2)- 4xx1xx9`
`" "=9-36 =- 27`
`therefore " "x=(-B pm sqrt(D))/(2A)`
`rArr" "x=(-3pmsqrt(- 27))/(2xx1)=-(3)/(2)pmi(1)/(2)sqrt(27)`
`rArr" "x=(-3)/(2)pmi(3)/(2)sqrt(3)`
Therefore, solutions of equations are
`" "x=-(3)/(2) pmi(3)/(2)sqrt(3)`
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