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If x= - 5 is a root of the quadratic e...

If `x= - 5 ` is a root of the quadratic equation `kx^(2) + 13x - 10 = 0 `, then complete the following activity to find the value of k .

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To find the value of \( k \) in the quadratic equation \( kx^2 + 13x - 10 = 0 \) given that \( x = -5 \) is a root, we can follow these steps: ### Step 1: Substitute the root into the equation Since \( x = -5 \) is a root, we substitute \( x \) with \(-5\) in the equation: \[ k(-5)^2 + 13(-5) - 10 = 0 \] ...
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