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If x = (3)/(2) is a root of the quadrati...

If `x = (3)/(2)` is a root of the quadratic equation `kx^(2) + 5x - 21 = 0`, then complete the following activity to find the value of k. One root of the quadratic equation is `(3)/(2)`.
`therefore` substitute `x = (3)/(2)` in the equation.
`therefore .......... + 5 xx (3)/(2) - ........... = 0`
`therefore .......... + (15)/(2) - 21 = 0`.
`therefore 9k + ........ - 84 = 0`
`therefore 9k = ............." "therefore k = ..............`.

Text Solution

Verified by Experts

The correct Answer is:
`((3)/(2))^(2)`
21
`(9 k)/(4)`
30
54
6
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