Найдите корень уровнения. Created by karinalislove. matematika-ru

1) 7^(2-x) = 7^12-x = 1x = 12) ОДЗ: 15-2x ≥0 2x≤15; x≤ 7.5 3) 2^(2-2x) = 2^42-2x=42x=2-42x=-2x=-14) ОДЗ: 16-2x ≥0 2x≤16; x≤ 8 5) ОДЗ: 6x+57 ≥0 6x≥-57; x≥ -9,5

Найдите корень уровнения...

IrkaShevko

Verified answer

1) 7^(2-x) = 7^1
2-x = 1
x = 1

2) ОДЗ: 15-2x ≥0 2x≤15; x≤ 7.5
$\sqrt{15-2x} = 3\\
15-2x = 9\\
2x = 15-9\\
2x = 6\\
x = 3$

3) 2^(2-2x) = 2^4
2-2x=4
2x=2-4
2x=-2
x=-1

4) ОДЗ: 16-2x ≥0 2x≤16; x≤ 8
$\sqrt{16-2x} = 2\\ 16-2x = 4\\ 2x = 16-4\\ 2x = 12\\ x = 6$

5) ОДЗ: 6x+57 ≥0 6x≥-57; x≥ -9,5
$\sqrt{6x+57} = 9\\ 6x+57 = 81\\ 6x = 81-57\\ 6x = 24\\ x = 4$

1 votes Thanks 1

Matemat1k1999 Приветствую Вас!
$7^2^-^x=7
$
$7^x^-^2= \frac{1}{7}$
$7^x=7$
$x=1$

$\sqrt{15-2x}=3$
$15-2x=9$
$-2x=-6$
$x=3$

$2^2^-^x=16$
$2^x^-^2= \frac{1}{16}$
$x+2=0$
$x=-2$

$\sqrt{16-2x} =2$
$16-2x=8$
$-2x=-12$
x=6

$\sqrt{6x+57} =9$
$6x+57=81$
$6x=24
$
$x=4$

Удачи!

0 votes Thanks 0

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