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Find the value of p, for which one root ...

Find the value of p, for which one root of the quadratic equation `px^(2)-14x+8=0` is 6 times the other.

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To solve the problem, we need to find the value of \( p \) for which one root of the quadratic equation \( px^2 - 14x + 8 = 0 \) is 6 times the other root. ### Step-by-Step Solution: 1. **Let the roots be \( a \) and \( 6a \)**: - Since one root is 6 times the other, we can denote the roots as \( a \) and \( 6a \). 2. **Use the sum of the roots**: ...
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