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Solve the equation 4x^2+9=0 by factorisa...

Solve the equation `4x^2+9=0` by factorisation mathod .

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`4x^2+9=0 `
`rArr4x^2-9i^2=0 `
`rArr(2x)^2-(3i)^2=0`
`rArr(2x+3i)(2x-3i)=0`
`rArr2x+3i=0`, or,2x-3i=0
`rArrx=(-3i)/2 ` or `x=(3i)/2`
hence, the roots are `(3i)/2` and `(-3i)/2`
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