One of the roots of the quadratic equation `kx^(2) – 14x – 5 = 0 ` is 5. Complete the following activity to find the value of k .
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5 is the root of the quadratic equation `kx^(2) – 14x – 5 = 0 `
`:.` substitute x=5 in the equation
`k xx square^(2)-square xx5-5=0`
`:. 25k – 70 -5 = 0 `
`:. 25k = square `
`:. k = “-” ” “:. k = 3 `
Activity
5 is the root of the quadratic equation `kx^(2) – 14x – 5 = 0 `
`:.` substitute `x=5` in the equation.
`k xx 5^(2) – 14 xx5 -5=0`
`:. 25k -70-5=0`
`:. 25k = 75`
`:. k = ( 75)/(25)`
`:. k = 3 `