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For each equation, given below, find the...

For each equation, given below, find the value of 'm' so that the equation has equal roots. Also, find the solution of each equation :
(i) `(m-3)x^(2)-4x+1=0`
(ii) `3x^(2)+12x+(m+7)=0`
(iii) `x^(2)-(m+2)x+(m+5)=0`

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ICSE-QUADRATIC EQUATIONS-Exercise 5(E)
  1. Solve the following equation: (2x)/(x-3)+(1)/(2x+3)+(3x+9)/((x-3)(2x...

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  2. Solve each of the following equations : (2x+3)^(2)=81

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  3. Solve each of the following equations : a^(2)x^(2)-b^(2)=0

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  4. Solve each of the following equations : x^(2)-(11)/(4)x+(15)/(8)=0

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  5. Solve the following equation: x+(4)/(x)=-4, x ne 0

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  6. Solve the following equation : 2x^(4)-5x^(2)+3=0

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  7. Solve equation : x^(4)-2x^(2)-3=0

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  8. Solve equation : 9(x^(2)+(1)/(x^(2)))-9(x+(1)/(x))-52=0

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  9. Solve equation : 2(x^(2)+(1)/(x^(2)))-(x+(1)/(x))=11

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

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  11. Solve each of the following equations : (x^(2)+5x+4)(x^(2)+5x+6)=120

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  12. Solve each of the following equations, giving answer upto two decimal ...

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  13. Solve : ((x)/(x+2))^(2)-7((x)/(x+2))+12=0, x ne -2.

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  14. Solve : (i) x^(2)-11x-12=0, when xepsilonN (ii) x^(2)-4x-12=0, whe...

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  15. Solve : (a+b)^(2)x^(2)-(a+b)x-6=0,a+b ne 0.

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  16. Solve : (1)/(p)+(1)/(q)+(1)/(x)=(1)/(x+p+q)

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  17. Solve : (i) x(x+1)+(x+2)(x+3)=42 (ii) (1)/(x+1)-(2)/(x+2)=(3)/(x+3...

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  18. For each equation, given below, find the value of 'm' so that the equa...

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  19. Without solving the following quadratic equation, find the value of 'p...

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  20. Without solving the following quadratic equation, find the value of 'm...

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