(x-13) (x-15) = 23÷11^2
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Answer:
x = 15,13
Step-by-step explanation:
(x-13)(x-15) = x³ -13x-15x+(13)(15)
= x² -28x + 195
(x-13) (x-15) = 23/11^2
x² -28x + 195 = 23/121
121x² - 3388 x + 23595 = 23
121x² -3388x +23572 = 0
x = 3388 ±√(3388)² -4(121)(23572)/2(121)
x = 3388 ± √58564 /2(121)
= 3388 ± 242/242
x = 3388+242 /242
x = 14+1
= 15
or
x = 3388-242 /242
= 14-1
13
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