Ile wyniesie y w równaniu:
= 2y+1:y²-1=7
2y:y²=7-1+1
2y:2y=7
y=7
2y +1
-------- = 7 Zal: y -1 ≠0 i y +1 ≠ 0
y² -1 y ≠ 1 i y ≠ -1
2y + 1 = 7*(y² -1)
2y +1 = 7y² -7
2y +1 -7y² +7 = 0
-7y² +2y +8 = 0
a = -7
b = 2
c = 8
∆ = b² - 4ac = 2² -4*(-7)*8 = 4 + 224 = 228
√∆ = √228 = √4* √57 = 2√57
x1= (-b - √∆):2a = (-2 -2√57) : 2*(-7) = (-2 -2√57) :(-14) = 1/7(1 + √57)
x2 =(-b + √∆):2a = (-2 +2√57) : 2*(-7) = (-2 +2√57) :(-14) = 1/7(1 - √57)
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= 2y+1:y²-1=7
2y:y²=7-1+1
2y:2y=7
y=7
Ile wyniesie y w równaniu:
2y +1
-------- = 7 Zal: y -1 ≠0 i y +1 ≠ 0
y² -1 y ≠ 1 i y ≠ -1
2y + 1 = 7*(y² -1)
2y +1 = 7y² -7
2y +1 -7y² +7 = 0
-7y² +2y +8 = 0
a = -7
b = 2
c = 8
∆ = b² - 4ac = 2² -4*(-7)*8 = 4 + 224 = 228
√∆ = √228 = √4* √57 = 2√57
x1= (-b - √∆):2a = (-2 -2√57) : 2*(-7) = (-2 -2√57) :(-14) = 1/7(1 + √57)
x2 =(-b + √∆):2a = (-2 +2√57) : 2*(-7) = (-2 +2√57) :(-14) = 1/7(1 - √57)