chimukagladys18 chimukagladys18

09-08-2022
Mathematics

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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

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subtomex0 subtomex0

09-08-2022

[tex]x_{1} = 3x_{2} \\ x_{1} - 3x_{2} = 0 ←relation \: 1\\ x_{1} + x_{2} = 6 ←relation \: 2[/tex]

[tex](x_{1},x_{2}) : (4.5,1.5)[/tex]

[tex]k = x_{1}x_{2} = 4.5 \times 1.5 = 6.75[/tex]

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