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Complete the following activity to sovle...

Complete the following activity to sovle the quadratic equation `sqrt(2)x^(3)+7x+5sqrt2=0` by factorisation method :

Text Solution

Verified by Experts

The correct Answer is:
The roots of the given quadratic equation are `-(5)/(sqrt2)and-sqrt2`.
`sqrt(2x^(3))+7x+5sqrt2=0`
`:.sqrt2x^(2)+5x+2x+5sqrt2=0`
`:.x(sqrt2x+5)+(sqrt2(sqrt2x+5)=0`
`:.sqrt2x+5(x+sqrt2)=0`
`:.sqrt2x+5=0orx+sqrt2=0`
`:.x=-(5)/(sqrt2)orx=-sqrt2`
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