Mathematics
Senior High
Solved
1行目が理解できません…x+y なのになぜ分母が積の形になっているのですか??
x=
||
1
1+√2+√3'
1
1+√2-√3
のとき,
1
x+y
の値を求めよ。
2 2
x(x²-x²y² + y¹)
(x¹ - x²y² + y²)
(x² + y²¹)-x²y²}
-1)(x-y-1)
2-1)
)-2xy}
- 4x²y²
x-y+1)
6
= x³ +(2y)³ +1° -35
= (x+2y+1)
x{x² + (2y)² +1²-x-2y-2y-1-1-x}
= (x+2y+1)(x² - 2xy+4y²-x-2y+1)
(1+√2-√3)+(1+√2+√3)
(1+√2+√3)(1+√2-√3)
5 x+y=-
よって
1
x+y
2(1+√2)
(1+√√2)²-(√√3)²
1+√2
√√2
√√2
V2
√√2+1
8=√82=√64
=
2(1+√2)
2√√2
√2(√2-1)
(√2+1)(√2-1)
であるから, ① は正しい。
=2-√2
また
(xy+
= (xy)²
= x²y²
= x²y²
したがっ
x² J
=(x-
=(-
=25
9 √28
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