A) \[{{x}^{2}}+3x-20=0\]
B) \[{{x}^{2}}-5x+10=0\]
C) \[{{x}^{2}}-3x-10=0\]
D) \[{{x}^{2}}+5x-30=0\]
Correct Answer: C
Solution :
Given, \[{{x}^{3}}-5{{x}^{2}}-x+5=0\] Here, roots \[(a,-a,b),\] Sum of the roots \[=a-a+b=5\] \[b=5\] and \[b=5\] satisfies the equation \[f(x)\equiv {{x}^{2}}-3x-10=0\] i.e, \[f(5)\equiv {{(5)}^{2}}-3(5)-10\] \[=25-15-10\] \[=0\] So, is the roots equation \[{{x}^{2}}-3x-10=0.\]You need to login to perform this action.
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