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Solve the following quadratic equation: ...

Solve the following quadratic equation: `\ x^2-(5-i)x+(18+i)=0`

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Verified by Experts

The correct Answer is:
`x=2+3 i, 3-4 i`

We apply the Quadratic Formula and get,
`x=((5−i)±√((5−i)^2−4(18+i)))/2` , i.e. ,

`x=((5−i)±{(25−10i−1)−72−4i})/2` , or ,

...
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RD SHARMA-QUADRATIC EQUATIONS-Solved Examples And Exercises
  1. Solve the following quadratic equation: (2+i)x^2-(5-i)x+2(1-i)=0

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  2. Solve the following quadratic equation: \ i x^2-4x-4i=0

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  3. Solve the following quadratic equation: \ x^2-(5-i)x+(18+i)=0

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  4. Solve the following quadratic equation: \ x^2-(2+i)x-(1-7i)=0

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  5. Solve the following quadratic equation: \ x^2+4i x-4=0

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  6. Solve the following quadratic equation: 2x^2+sqrt(15)i x-i=0

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  7. Solve the following quadratic equation: \ i x^2-x+12 i=0

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  8. Solve the following quadratic equation: \ x^2-(3sqrt(2)-2i)x-sqrt(2)i=...

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  9. Solve the following quadratic equation: \ 2x^2-(3+7i)x+(9i-3)=0 alpha ...

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  10. If a\ a n d\ b are roots of the equation x^2-p x+q=0 ,then write the v...

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  11. If roots alpha,beta of the equation x^2-p x+16=0 satisfy the relation ...

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  12. If 2+sqrt(3)i is a root of the equation x^2+p x+q=0 , then write the v...

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  13. If the difference between the roots of the equation\ x^2+a x+8=0 is...

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  14. If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the valu...

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  15. Write the number of quadratic equation with real roots, which do no...

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  16. If alpha,beta are roots of the equation x^2+l x+m=0 , write an equatio...

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  17. If a ,\ b are the roots of the equation x^2+x+1=0,\ then\ a^2+b^2= <pr...

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  18. If alpha\ a n d\ beta are the roots of 4x^2+3x+7=0 then the value of 1...

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  19. If the difference of the roots of x^2-p x+q=0 is unity, then a) p^2+...

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  20. If alpha,beta are the roots of the equation x^2-p(x+1)-c=0 then (alpha...

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