One root of equation ( (x-1)(7-x)=m ). one roo ( z ) is 3 times than other (5).
Question
One root of the equation . One root is 3 times the other (5).
Solution
The given equation is (x-1)(7-x) = m.
The roots of this equation are x = 1 and x = 7.
According to the problem, one root (z) is 3 times the other root (5).
So, we have two equations:
- z = 3*5 = 15
- z = 1 or z = 7 (from the roots of the given equation)
From these two equations, we can see that there is no solution because 15 is not equal to 1 or 7.
Therefore, there seems to be a mistake in the problem as it stands. The roots of the equation (x-1)(7-x) = m are 1 and 7,
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