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let the quadratic equations x²+3x-k=0 has root a,b and x²+3x-10=0. has the root c,d such that modulus of the difference of the root of the first equations is equal to twice the modulus of the difference of the root of the second equations .

pawan , 8 Years ago
Grade 11
anser 1 Answers
Shailendra Kumar Sharma
|a-b| =|c-d|
so (a-b)2 = (c-d)2
=> (a+b)2-4ab =(c+d)2-4cd
=> 9+4k=9+4*10
=> k=10 
so the value of k will be 10
Last Activity: 8 Years ago
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