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Solve the following quadratic equation :...

Solve the following quadratic equation :
`10x-(1)/(x)=3`

Text Solution

Verified by Experts

The correct Answer is:
`x=(1)/(2)" or "x=(-1)/(5)`

`10x^(2)-3x-1=0implies10x^(2)-5x+2x-1=0implies5x(2x-1)+(2x-1)=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4A
  1. Solve each of the following quadratic equations: 100x^(2)-20x+1=0

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  2. Solve each of the following quadratic equations: 2x^(2)-x+(1)/(8)=0

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  3. Solve the following quadratic equation : 10x-(1)/(x)=3

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  4. Solve each of the following quadratic equations: (2)/(x^(2))-(5)/(x)...

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  5. Solve each of the following quadratic equations: 2x^(2)+ax-a^(2)=0

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  6. Solve the following quadratic equation for x:4x^2 + 4bx – (a^2-b^2) = ...

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  7. Solve each of the following quadratic equations: 4x^(2)-4a^(2)x+(a^(...

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  8. Solve each of the following quadratic equations: x^(2)+5x-(a^(2)+a-6...

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  9. Solve each of the following quadratic equations: x^(2)-2ax-(4b^(2)-a...

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  10. Solve each of the following quadratic equations: x^(2)-(2b-1)x+(b^(2...

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  11. Solve each of the following quadratic equations: x^(2)+6x-(a^(2)+2a-...

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  12. Solve the following equations by using quadratic formula: abx^(2)+(b...

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  13. Solve the following quadratic equation for xdot x^2-4a x-b^2+4a^2=0

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  14. Solve each of the following quadratic equations: 4x^(2)-2(a^(2)+b^(2...

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  15. Solve the following quations by using qardratic formula: 12abx^(2)-(...

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  16. Solve each of the following quadratic equations: a^(2)b^(2)x^(2)+b^(...

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  17. Solve for x: 9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0

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  18. Solve each of the following quadratic equations: (16)/(x)-1=(15)/(x+...

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  19. Solve each of the following quadratic equations: (4)/(x)-3=(5)/(2x+3...

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  20. Solve each of the following quadratic equations: (3)/(x+1)-(1)/(2)=...

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