find the value of M with x square x square + 3 xy + x m y - which is the linear equation coefficient
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x² + 3xy + x + my - m
from the given two degree equation
x² + 3xy + x + my - m = (ax + by + c)(dx + c)
x² + 3xy + x + my - m
= (ad)x² + (ae)x + (bd)xy + (be)y + (dc)x + (ce)
Both side compare
x² → ad = 1
xy → bd = 3
x → (ae + dc) = 1
y → be = m
cons → ce = -m
(or)
x² + x(3y + 1) + (my - m) = 0
a = 1 b = 3y + 1 c = (my - m)
∆ = b² - 4ac
(3y + 1)² - 4(1)(my - m) = 0
ay² + y(6 - 4m) + (4m + 1) = 0
a = 9 b = 6 - 4m c = 4m + 1
∆ = b² - 4ac
= (6 - 4m²) - 4(9) (4m + 1)
= 36 - 48m + 16m² - 36(4m + 1)
9 - 12 + 4m² - 9(4m + 1) = 0
4m² - 48m = 0
4m (m - 12) = 0
m = 0 m = 12
HOPE IT HELPS YOU.....
from the given two degree equation
x² + 3xy + x + my - m = (ax + by + c)(dx + c)
x² + 3xy + x + my - m
= (ad)x² + (ae)x + (bd)xy + (be)y + (dc)x + (ce)
Both side compare
x² → ad = 1
xy → bd = 3
x → (ae + dc) = 1
y → be = m
cons → ce = -m
(or)
x² + x(3y + 1) + (my - m) = 0
a = 1 b = 3y + 1 c = (my - m)
∆ = b² - 4ac
(3y + 1)² - 4(1)(my - m) = 0
ay² + y(6 - 4m) + (4m + 1) = 0
a = 9 b = 6 - 4m c = 4m + 1
∆ = b² - 4ac
= (6 - 4m²) - 4(9) (4m + 1)
= 36 - 48m + 16m² - 36(4m + 1)
9 - 12 + 4m² - 9(4m + 1) = 0
4m² - 48m = 0
4m (m - 12) = 0
m = 0 m = 12
HOPE IT HELPS YOU.....
indu24:
thanks anna
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Hey Buddy ,,
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