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Find the roots of the quadratic equatio...

Find the roots of the quadratic equation `3x^2-2sqrt(6)x+2=0`

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To find the roots of the quadratic equation \(3x^2 - 2\sqrt{6}x + 2 = 0\), we can use the quadratic formula, which is given by: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] where \(a\), \(b\), and \(c\) are the coefficients from the equation \(ax^2 + bx + c = 0\). ...
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NCERT-QUADRATIC EQUATIONS-Solved Examples
  1. Find the roots of 4x^2+3x+5=0by the method of completing the square.

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  2. Find the roots of the equation 5x^2-6x-2=0by the method of completin...

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  3. Find the roots of the quadratic equation 3x^2-2sqrt(6)x+2=0

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  4. Find the roots of the quadratic equation 6x^2-x-2=0.

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  5. Solve the equation given by the method of completing the square. 2x...

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  6. Find the dimensions of the prayer hall discussed in Section 4.1.

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  7. Represent the following situations mathematically:(i)    John and Ji...

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  8. Find the roots of the equation 2x^2-5x+3=0, by factorisation.

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  9. Check whether the following are quadratic equations : (i) (x-2)^2+1=2...

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  10. A rectangular park is to be designed whose breadth is 3 m less than i...

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  11. Find the roots of the following quadratic equations, if they exist, u...

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  12. Solve by using the quadratic formula. The area of a rectangular plo...

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  13. Find two consecutive odd positive integers, sum of whose squares is 2...

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  14. Find the discriminant of the quadratic equation 2x^2-4x+3=0, and henc...

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  15. A pole has to be erected at a point on the boundary of a circular par...

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  16. Find the roots of the following equations : (i) x+1/x=3, x!=0 (ii) 1...

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  17. A motor boat whose speed is 18 km/h m still water takes 1 hour more t...

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  18. Find the discriminant of the equation 3x^2-2x+1/3=0and hence find the...

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