If (x-16)(x-19)=25/64 then x=? Give solving chart?

2016-06-17 4:14 pm

回答 (2)

2016-06-17 4:26 pm
(x - 16)(x - 19) = 25/64

x(x - 19) -16(x - 19)= 25/64

x² - 19x - 16x + 304 = 25/64

x² - 35x + 304 = 25/64

64(x² - 35x + 304) = 25

64x² - 2240x + 19456 = 25

64x² - 2240x + 19431 = 0

(8x - 127)(8x - 153) = 0

x = 127/8 or x = 153/8
2016-06-17 5:04 pm
(x - 16)(x - 19) = 25/64
64(x^2 - 35x + 304) = 25
64x^2 - 2240x + 19456 = 25
64x^2 - 2240x + 19431 = 0
(8x - 153)(8x - 127) = 0
Solutions:
x = 127/8
x = 153/8


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