In △ ABC, if a ^ 4 + B ^ 4 + C ^ 4 = 2 (A & # 178; + B & # 178;) C & # 178;, then the degree of ∠ C is

In △ ABC, if a ^ 4 + B ^ 4 + C ^ 4 = 2 (A & # 178; + B & # 178;) C & # 178;, then the degree of ∠ C is


a^4+b^4+c^4=2(a²+b²)c²a^4+2a²b²+b^4-2(a²+b²)c²+c^4-2a²b²=0(a²+b²)²-2(a²+b²)c²+c^4-2a²b²=0(a²+b²+c...



In the triangle ABC, 12a ^ 2 = 4B ^ 2 = 3C ^ 2, then the degree of angle c is____


a^2+b^2-2*a*b*cosC=c^2
So let 12a ^ 2 = 4B ^ 2 = 3C ^ 2 = 24
So a = 2 under the root
B = 6 under root
C = 8 under root
Substitution formula
cosC=0
So it's 90 degrees



(a-2b + 3C) - the detailed process of (- A + 2b-3c) and the solution


Using the square difference formula A & # 178; - B & # 178; = (a + b) (a-b)



Simplification: (1-A) ^ 2 / A-1 (a)


(1-a)^2/a-1
=(a-1)^2/(a-1)
=a-1
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Simplification (1 / 2) a + (1-A) + (a ^ 2 - 1) / (A-1)


(1/2)a+(1-a)+(a^2 -1)/(a-1)
=1/2a+1-a+a+1
=1/2a+2



Simplify a (A-1) ^ 2 - (a + 1) (a ^ 2-A + 1)


Original formula = a (A & # 178; - 2A + 1) - (A & # 179; - A + A + A & # 178; - A + 1)
=a³-2a²+a-(a³+1)
=a³-2a²+a-a³-1
=-2a²+a-1



375:7 / 8


375 is equal to 3 / 8, the original formula can be changed to 3 / 8:7 / 8 = 3 / 7



Simplification 1.5/8:5 2.0.375:0.875 3.0.4:4 / 7


1. 5/8:5=1:8
2. 0.375:0.875=3:7
3. 0.4:4/7=7:10



0125: how to simplify 3 / 8


0.125=1/8
So 0.125:3 / 8 = 1 / 8:3 / 8 = 1:3



25:3 / 8


2:3