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The equation ax^2 + bx + a=0 (a ,b,...

The equation ` ax^2 + bx + a=0 (a ,b, in R ) ` and ` x^3 -2x^2+2x-1=0` have two roots common . Then a+ b must be equal to

A

1

B

`-1`

C

`0`

D

one of these

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF every pair from the equation x^2 +px +qr =0 , x^2 +qx + rp...

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  2. IF the equation k ( 6 x^2 + 3) + rz + 2x^2 -1=0 and 6k ( 2 x^...

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  3. The equation ax^2 + bx + a=0 (a ,b, in R ) and x^3 -2x^2+2x...

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  4. The value of 'a' for which the equation x^3 + ax +1=0 and x^...

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  5. IF alpha , beta are the roots of x^2 +px +q=0 and also of x^(...

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  6. IF a,b,c are in A. P and if ( b-c )^2+(c-a)x+ (c-a ) x+(a-b) =0 a...

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  7. If 12^(4+2x^(2)) = (24sqrt(3))^(3x^(2)-2), then x =

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  8. for the equation | x|^2 +|x|-6=0 the roots are

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  9. The number of real solution x^2-7 |x|+12 =0 is

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  10. The number of real roots of |x^(2)| - 5|x| + 6 = 0 is

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  11. If |x^2|+|x|-2=0 then x=

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  12. The product and sum of the roots of the equation | x^2 | -5|x|-24...

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  13. The real roots of the equation |x^2 +4x +3|+2x +5 =0 are

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  14. The number of real solutions of the equation ∣x∣^2 −5∣x∣+6=0 is

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  15. The solutions of |x^2 -2x +2| =3x-2 are

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  16. IF |x-2|+2 |x-9|=7 then x=

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  17. IF |x-2|+2 |x-3|=7 then x=

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  18. If |x+1|-|x|+3|x-1|-2|x-2|=x+2, then x=

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  19. The number of real roots of (7+ 4 sqrt(3)) ^(|x|-8)=14 is

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  20. The sum of all real values of x satisfying the equation (x^2 - ...

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