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Milana03091994
@Milana03091994
July 2022
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помогите пожалуйста)) номер 273
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sangers1959
Verified answer
ˣ1)
5ˣ*∛8ˣ⁻¹=500
5ˣ*2³*⁽ˣ⁻¹⁾/³=500
5ˣ*2ˣ⁻¹=500
5ˣ*2ˣ/2=500
5ˣ*2ˣ=1000
(5*2)ˣ=10³
10ˣ=10³
x=3.
4)
(√(3-2√2))ˣ+(√(3+2√2))ˣ=6
(√((√2)²-2*√2*1+1²))ˣ+(√(√2)²+2*√2*1+1²)ˣ=2+1+2+1
(√(√2-1)²)ˣ+(√(√2+1)²)ˣ=(√2)²+1²+(√2)²+1²
(√2-1)ˣ+(√2+1)ˣ=(√2)²-2*√2*1+1²+(√2)²+2*√2*1+1²
(√2-1)ˣ+(√2+1)ˣ=(√2-1)²+(√2+1)² ⇒
x=2.
5)
(√(7+4√3))ˣ+(√(7-4√3))ˣ=14
(√(2²+2*2*√3+(√3)ˣ+(√(2²+2*2*√3+(√3)²)ˣ=4+3+4+3
(√(2+√3)²)ˣ+(√(2-√3)²)ˣ=2²+2*2*√3*+(√3)²+2²-2*2*√3+(√3)²
(2+√3)ˣ+(2-√3)ˣ=(2+√3)²+(2-√3)² ⇒
x=2.
6)
(√(2-√3))ˣ+(√(2+√3))ˣ=2
(√(2-√3))ˣ+(√(2+√3)ˣ=1+1
(√(2-√3))ˣ+(√(2+√3))ˣ=(√2-√3))⁰+(√2+√3))⁰ ⇒
x=0.
2 votes
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Answers & Comments
Verified answer
ˣ1)5ˣ*∛8ˣ⁻¹=500
5ˣ*2³*⁽ˣ⁻¹⁾/³=500
5ˣ*2ˣ⁻¹=500
5ˣ*2ˣ/2=500
5ˣ*2ˣ=1000
(5*2)ˣ=10³
10ˣ=10³
x=3.
4)
(√(3-2√2))ˣ+(√(3+2√2))ˣ=6
(√((√2)²-2*√2*1+1²))ˣ+(√(√2)²+2*√2*1+1²)ˣ=2+1+2+1
(√(√2-1)²)ˣ+(√(√2+1)²)ˣ=(√2)²+1²+(√2)²+1²
(√2-1)ˣ+(√2+1)ˣ=(√2)²-2*√2*1+1²+(√2)²+2*√2*1+1²
(√2-1)ˣ+(√2+1)ˣ=(√2-1)²+(√2+1)² ⇒
x=2.
5)
(√(7+4√3))ˣ+(√(7-4√3))ˣ=14
(√(2²+2*2*√3+(√3)ˣ+(√(2²+2*2*√3+(√3)²)ˣ=4+3+4+3
(√(2+√3)²)ˣ+(√(2-√3)²)ˣ=2²+2*2*√3*+(√3)²+2²-2*2*√3+(√3)²
(2+√3)ˣ+(2-√3)ˣ=(2+√3)²+(2-√3)² ⇒
x=2.
6)
(√(2-√3))ˣ+(√(2+√3))ˣ=2
(√(2-√3))ˣ+(√(2+√3)ˣ=1+1
(√(2-√3))ˣ+(√(2+√3))ˣ=(√2-√3))⁰+(√2+√3))⁰ ⇒
x=0.