(x-5)(x-6)=25/14^2
Find the value of x
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Answer:
Two values:
x = 11 / 2 ± √74 / 14
Step-by-step explanation:
( x - 5 ) ( x - 6 ) = 25 / 14²
=> x² - 11x = 25 / 14² - 30
=> ( x - 11/2 )² = 25 / 14² - 30 + (11/2)²
=> ( x - 11/2 )² = ( 25 - 5880 + 5929 ) / 14²
=> ( x - 11/2 )² = 74 / 14²
=> x - 11/2 = ± √74 / 14
=> x = 11 / 2 ± √74 / 14
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