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Solve the following quadratic for x: 4...

Solve the following quadratic for x:
`4x^(2)-4a^(2)x+(a^(4)-b^(4))=0`

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Verified by Experts

The correct Answer is:
`x=(a^(2)-b^(2))/(2)` or `x=(a^(2)+b^(2))/(2)`
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ZEN PUBLICATION-QUADRATIC EQUATIONS-ZEN ADDITIONAL QUESTIONS (SHORT ANSWER (SA) TYPE - 1 - QUESTIONS)
  1. Solve the following quadratic equation by factorisation. 12 abx^(2)-(9...

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  2. Solve the equation 10ax^(2)+15ax-6x-9=0, where a!=0.

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  3. Solve the following quadratic for x: 4x^(2)-4a^(2)x+(a^(4)-b^(4))=0

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  4. Solve for 'x' : sqrt(6x+7)-(2x-7)=0.

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  5. Solve for x: (14)/(x+3)-1=(5)/(x+1), x!=3, x != -1

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  6. Solve by using the formula method: (i) abx^(2)+(b^(2)-ac)x-bc=0 (i...

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  7. Solve by using the formula method: (ii) (x-1)/(x-2) +(x-3)/(x-4) = ...

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  8. Solve the following by the quadratic formula: x^(2)-2 (a^(2)+b^(2))x...

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  9. Solve: sqrt(3)x^(2)+10x-8 sqrt(3)=0

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  10. What constant should be added and subtracted to solve the quadratic eq...

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  11. Find the nature of the roots of the quadratic equation sqrt(2)x^(2) - ...

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  12. Write the condition to be satisfied for the equation ax^(2)+2bx + c = ...

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  13. If the equation ax^(2)+bx+c=0 has equal roots, find c in terms of 'a' ...

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  14. For what value of K does 4x^(2)-2(K+1)x+(K+1)=0 have real and equal ro...

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  15. If 2 is the root of the quadratic equation 3x^(2)+px-8=0 and 4x^(2)-2p...

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  16. Show that the equation 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 has no real roo...

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  17. Determine the condition for the roots of the equation ax^(2)+bx+c=0 to...

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  18. If 1/2 is a root of the equation x^(2)+Kx - 5/4 = 0, find the value of...

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  19. Find two consecutive odd numbers whose product is 99.

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  20. The difference of two natural numbers is 3 and the difference of their...

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