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Solve the equation:sqrt(2)x^2+x+sqrt(2)=...

Solve the equation:`sqrt(2)x^2+x+sqrt(2)=0`

Text Solution

Verified by Experts

We know that in the quadratic equation ` ax^2+bx+c=0 `, the roots are given by
`x=(−b±sqrt(b^2−4ac))/(2a)`
​​For `√2x^2+x+√2=0`
`=>b^2−4ac=(1)^2−4(2)(2)=−7`
Thus, the roots are
`=>x=​(−1±sqrt(−7))/(2sqrt(2))`
​​`=>x=​(−1±sqrt(7)i)/(2sqrt(2))`
​​
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