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Solve (x^(2) - 2x)^(2) - 23 (x^(2) - 2x)...

Solve `(x^(2) - 2x)^(2) - 23 (x^(2) - 2x) + 120 = 0`

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To solve the equation \((x^2 - 2x)^2 - 23(x^2 - 2x) + 120 = 0\), we will follow these steps: ### Step 1: Substitute \(y = x^2 - 2x\) Let \(y = x^2 - 2x\). This substitution simplifies our equation to: \[ y^2 - 23y + 120 = 0 \] ...
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PEARSON IIT JEE FOUNDATION-QUADRATIC EXPRESSIONS AND EQUATIONS-Level 3
  1. Solve (x^(2) - 2x)^(2) - 23 (x^(2) - 2x) + 120 = 0

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  2. Two persons A and B solved a quadratic equation of the form x^(2) + bx...

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  3. If alpha and beta are positive the the least value of (alpha^(-6) + b...

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  4. If b(1),b(2),b(3),"….."b(n) are positive then the least value of (b(1)...

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  5. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

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  6. Out of the group of employees, twice the square root of the number of ...

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  7. Find the quadratic equation whose roots are 2 times the roots of x^(2)...

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  8. If one of the roots of ax^(2) + bx + c = 0 is thrice that of the other...

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  9. If alpha, beta are the roots of px^(2) + qx + r = 0, then alpha^(3) + ...

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  10. If alpha and betaare the roots of x^(2) - (a+1)x + 1/2 (a^(2) + a+1) ...

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  11. The number of roots of the equation 2|x|^(2) - 7|x| + 6 = 0

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  12. In a quadratic equation ax^(2)- bx + c = 0, a,b,c are distinct primes...

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  13. Maximum value of (2+12x-3x^(2))/(2x^(2) - 8x + 9) is "".

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  14. If x^(2) + ax+ b and x^(2) + bx + c have a common factor (x-k), then k...

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  15. If 9x-3y + z = 0 , then the value of y/(2x)+ sqrt((x^(2) - 4xz)/(4x^...

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  16. If the roots of 3x^(2)- 12x +k = 0 are complex, then find the range of...

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  17. If alpha, beta are the roots of ax^(2) + bx + c = 0, then find the qua...

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  18. Ramu swims a distance of 3 km each upstream and downstream. The total ...

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  19. In solving a quadratic equation x^(2) + px + q = 0 a student made a mi...

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  20. The roots of ax^(2) - bx + 2x = 0 are in the ratio of 2 : 3, then "".

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  21. If the roots of 9x^(2) - 2x +7 = 0 are 2 more than the roots of ax^(2)...

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