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The value of n is
(i) 2.75
(ii) 0.54
Given equation is :
(2n-5) × (5n-4) = 5
10n² -8n -25n +20 = 5
10n²-33n +15 = 0
Here, a= 10, b= -33, c= 15
Now,
D= b²-4ac
= (-33)² - 4(10 * 15)
= 1089-600
= 489
Roots:
\frac{-b+\sqrt{D} }{2a} and
Upon putting the values and solving we get,
n= 2.75 and 0.54.
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