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For a<0, determine all real roots of the...

For `a<0,` determine all real roots of the equation `x^2-2a|x-a|-3a^2=0.`

A

`a (1- sqrt2)`

B

`a (1+ sqrt2)`

C

`a (-1 -sqrt6 )`

D

`a(-1+sqrt6)`

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The correct Answer is:
A, D
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VK JAISWAL ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  14. The number of non-negative integral ordered pair (s) (x,y) for which ...

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  15. For a<0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  16. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

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  17. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

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