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Solve each of the following quadratic eq...

Solve each of the following quadratic equations:
`x^(2)-2ax-(4b^(2)-a^(2))=0`

Text Solution

Verified by Experts

The correct Answer is:
`x=(a-2b)" or "x=(a+2b)`

`x^(2)-2ax+(a^(2)-4b^(2))=0impliesx^(2)-2ax+(a+2b)(a-2b)=0`
`implies" "x^(2)-(a+2b)x-(a-2b)x+(a+2b)(a-2b)=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4A
  1. Solve each of the following quadratic equations: 4x^(2)-4a^(2)x+(a^(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Solve each of the following quadratic equations: (i)(1)/(x-1)-(1)/(x...

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  16. Solve for: 1/(2a+b+2x)=1/(2a)+1/b+1/(2x)

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

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  18. Solve each of the following quadratic equations: (3x-4)/(7)+(7)/(3x-4...

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  19. Solve each of the following quadratic equations: (i) (x)/(x-1)+(x-1)...

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

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