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CBSE Class 10 Answered

Find the values of x for which the roots g and h of the equation t²-8t+x=0 satisfy the condition that g²+h²=4. Find also the roots of the equation corresponding to these valueas of x.  
Asked by vikasg13.hardware | 07 Aug, 2018, 05:16: PM
answered-by-expert Expert Answer
t2 - 8t + x = 0
According to the question,
g + h = 8 and gh = x
g2 + h2 = 4
(g + h)2 = g2 + h2 + 2gh
64 = 4 + 2x
2x = 60
x = 30
Hence,
t2 - 8t + 30 = 0 has imaginary roots.
Answered by Sneha shidid | 14 Aug, 2018, 10:53: AM

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