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Rational definition operation For rational numbers, define an operation "△" such that a△b=3a+b÷a-3b, and find the value of (-2△[3△(-4)]. Please describe the algorithm or principle! Please state the reason! Rational definition operation For rational numbers, define an operation "△" such that a△b=3a+b÷a-3b, and obtain the value of (-2△[3△(-4)]. Please state the algorithm or reason! Please state the reason!
Original formula =(-2)Δ[3*7+(-6)/7-3*(-6)]
=-2Δ0.6
=-2*3+0.6/(-2)-3*0.6
=-5.4/-3.8
In the original algorithm of rational number, we define the new operation ""as follows: When a≥b, a b=b2, when a < b, a b=a, this definition is used to calculate:[1(-2)]5-4×[(-3)2],
According to when a≥b, a b=b2 when a < b, a b=a,
[1♁(-2)]♁5-4×[(-3)♁2]
=(-2)²♁5-4×(-3)
=4♁5-4×(-3)
=4-(-12)
=4+12
=16
For your reference.
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