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17 votes
17 votes
find the roots of the quadratic equation x^2-6x+k=0.giventhat one root is three times the other and that k is a constant.Also find the value of k​

User Hojun
by
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1 Answer

26 votes
26 votes


x_(1) = 3x_(2) \\ x_(1) - 3x_(2) = 0 ←relation \: 1\\ x_(1) + x_(2) = 6 ←relation \: 2


(x_(1),x_(2)) : (4.5,1.5)


k = x_(1)x_(2) = 4.5 * 1.5 = 6.75

User JasonWoof
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