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Solve for x: a/(ax-1)+b/(bx-1)=a+b; x!= ...

Solve for x: `a/(ax-1)+b/(bx-1)=a+b; x!= 1/a, 1/b`

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The correct Answer is:
`x=(a+b)/(ab)orx=(2)/(a+b)`
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NAGEEN PRAKASHAN-QUADRATIC EQUATIONS-Exercise 4a
  1. Solve each of the following equatins : x=(3x+1)/(4x)

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  2. Solve each of the following equatins : x+(1)/(x)=2.5

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  3. Solve each of the following equatins : 5x-(35)/(x)=18,xne0

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  4. Solve each of the following equatins : (2)/x^(2)-(5)/(x)+=0,xne0

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  5. Solve each of the following equatins : a^(2)x^(2)+2ax+1=0

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  6. Solve each of the following equatins : x^(2)-(p+q)x+pq=0

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  7. Solve each of the following equatins : a^(2)x^(2)+(a^(2)+b^(2))x+b^(...

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  8. 5. Solve 12abx^2-9a^2x +8b^2x-6ab =0

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  9. Solve each of the following equatins : 4x^(2)-4ax+(a^(2)-b^(2))=0

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  10. Solve each of the following equatins : (x+1)/(x-1)=(3x-7)/(2x-3)

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  11. Solve each of the following equatins : (5)/(2x+1)+(6)/(x+1)=3

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  12. Solve each of the following equatins : (x+3)/(x-2)-(1-x)/(x)=4(1)/(4...

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  13. Solve the following equations : 2((x)/(x+1))^(2)-5((x)/(x+1))+2=0\ xne...

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  14. Solve each of the following equatins : sqrt((x)/(1-x))+sqrt((1-x)/(x...

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  15. Solve each of the following equatins : ((2x-3)/(x-1))-4((x-1)/(2x-3)...

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  16. Solve each of the following equatins : 2^(2x+3)-57=65(2^(x)-1)

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  17. Solve each of the following equatins : 2^(2x)-3xx2^(x+2)+32=0

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  18. Solve each of the following equatins : x^(2//3)+x^(1//3)-2=0

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  19. Solve for x: a/(ax-1)+b/(bx-1)=a+b; x!= 1/a, 1/b

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  20. Solve the following quadratic equations by factorization method: 1/...

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