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The number of real solutions of |2x-x^2-...

The number of real solutions of `|2x-x^2-3|=1` is

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To solve the equation \( |2x - x^2 - 3| = 1 \), we will break it down into two cases based on the definition of the absolute value. ### Step 1: Set up the two cases for the absolute value The equation \( |A| = B \) can be rewritten as two separate equations: 1. \( A = B \) 2. \( A = -B \) In our case, we have: ...
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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The number of roots of the equation ((x+2)(x-5))/((x-3)(x+6))=(x-2)/(x...

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  2. If alpha,beta are the roots of the equationx^2+p x+1=0;gamma,delta the...

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  3. The number of real solutions of |2x-x^2-3|=1 is

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  4. The number of real roots of (x^2 +2x)^2 - (x+1)^2 - 55 = 0

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  5. If alpha,beta are the roots of the equation a x^2+b x+c=0, then 1/(aal...

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  6. If alpha,beta are roots of the equation x^2+3x+7=0, then 1//alpha+1bet...

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  7. The values of x satisfying (log)3(x^2+4x+12)=2 are (a) 2,-4 (b) ...

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  8. The complete set of values of k , for which the quadratic x^2-k x+k+2=...

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  9. For the equation |x^2|+|x|-6=0 , the sum of the real roots is (a) 1 ...

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  10. The equation of the smallest degree with real coefficients having 1+i ...

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  11. The value of p and q(p!=0,q!=0) for whichp ,q are the roots of the e...

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  12. The number of solution of x^2+|x-1|=1 is (a) 0 (b) 1 (c) 2 (d)...

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  13. If x is real and k=(x^2-x+1)/(x^2+x+1) , then k in [1/3,3] (b) kgeq3 ...

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  14. The one root of the equation x^2+p x+12=0 is 4, while the equation x^2...

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  15. If the equations x^2+2x+3lambda=0 and 2x^2+3x+5lambda=0 have a non-zer...

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  16. Solve the quadratic equations by using the general expressions for t...

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  17. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

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  18. Solve: x^2-(7-i)x+(18-i)=0ov e rCdot

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  19. If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write th...

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  20. Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

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