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If one root of the equation x^2 - 2x - k is square that of other find the other root . Find the value of K.

 Dec 25, 2020
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The sum of the roots  =  a  + a^2  =  2

 

So  rearranging , we have

 

a^2 + a  - 2  =  0      factor

 

(a + 2) ( a - 1)  = 0

 

Setting each factor to  0  and solving for a produces  a =  -2    or  a  = 1

 

So  a^2  =  4      or   a^2    = 1

 

And the product of the roots = -k

 

So....the roots must  be   - 2  , 4   and    - k  = -8

 

So  k  = 8

 

 

cool cool cool

 Dec 25, 2020

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