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For the equation |x^2|+|x|-6=0 , the su...

For the equation `|x^2|+|x|-6=0` , the sum of the real roots is (a) `1` (b) `0` (c) `2` (d) none of these

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To solve the equation \( |x^2| + |x| - 6 = 0 \) and find the sum of the real roots, we can follow these steps: ### Step 1: Rewrite the equation The equation can be rewritten as: \[ |x^2| + |x| - 6 = 0 \] Since \( x^2 \) is always non-negative, we can simplify this to: ...
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RD SHARMA-QUADRATIC EQUATIONS-Solved Examples And Exercises
  1. The values of x satisfying (log)3(x^2+4x+12)=2 are (a) 2,-4 (b) ...

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

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

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

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  5. The value of p and q for whichp ,q are the roots of the equation x^2+p...

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

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

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

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

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

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

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  12. Solve: x^2-(7-i)x+(18-i)=0

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  13. If alpha,beta are roots of the equation x^2-p(x+1)-c=0, then write the...

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

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  15. The least value of k which makes the roots of the equation x^2+5x+k=0 ...

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  16. If alpha,beta are the roots of the equation x^2+p x+q=0,t h e n-1/alph...

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  17. Solve the equation 9x^2-12 x+20=0 by factorization method only.

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  18. The set of all values of m for which both the roots of the equation x...

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  19. Solve the following quadratic equations by factorization method: x^2-...

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  20. Solve the equation 25 x^2-30 x+11=0 by using the general expression fo...

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