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x = (4 + √(16 - 4m( - m + 5)) )/(2m)
Determine the value of m


User EssXTee
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1 Answer

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The calculated values of the variable m are 1 and 4

How to determine the value of m

From the question, we have the following parameters that can be used in our computation:


x = (4 + √(16 - 4m( - m + 5)) )/(2m)

To determine the value of m, the expression 16 - 4m(-m + 5) must be greater than or equal to zero for the square root to be defined.

Setting the expression to 0, we have

16 - 4m(-m + 5) = 0

16 + 4m² - 20m = 0

So, we have

4 + m² - 5m = 0

Rewrite as

m² - 5m + 4 = 0

Factoring the quadratic, we get:

(m - 4)(m - 1) = 0

This gives

m = 4 and m = 1

Hence, the values of m are 1 and 4

User Krasnerocalypse
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