![\Big{32}^\frac{x+5}{x-7}=0,25\cdot\Big{128}^\frac{x+17}{x-3}\\\\\Big(2^5\Big)^\frac{x+5}{x-7}=\dfrac 14\cdot\Big(2^7\Big)^\frac{x+17}{x-3}\\\\\Big2^{5\cdot\frac{x+5}{x-7}}=2^{-2}\cdot\Big2^{7\cdot\frac{x+17}{x-3}}\\\\\Big2^{5\cdot\frac{x+5}{x-7}}=\Big2^{7\cdot\frac{x+17}{x-3}-2}\\\\5\cdot\frac{x+5}{x-7}=7\cdot\frac{x+17}{x-3}-2~~~~\bigg|\cdot (x-7)(x-3)\neq0\\\\5\cdot(x+5)(x-3)=7\cdot(x+17)(x-7)-2(x-7)(x-3)\\\\5\cdot(x^2+2x-15)=7\cdot(x^2+10x-119)-2(x^2-10x+21)\\5x^2+10x-75=7x^2+70x-833-2x^2+20x-42\\10x-75=70x-833+20x-42](https://tex.z-dn.net/?f=%5CBig%7B32%7D%5E%5Cfrac%7Bx%2B5%7D%7Bx-7%7D%3D0%2C25%5Ccdot%5CBig%7B128%7D%5E%5Cfrac%7Bx%2B17%7D%7Bx-3%7D%5C%5C%5C%5C%5CBig%282%5E5%5CBig%29%5E%5Cfrac%7Bx%2B5%7D%7Bx-7%7D%3D%5Cdfrac%2014%5Ccdot%5CBig%282%5E7%5CBig%29%5E%5Cfrac%7Bx%2B17%7D%7Bx-3%7D%5C%5C%5C%5C%5CBig2%5E%7B5%5Ccdot%5Cfrac%7Bx%2B5%7D%7Bx-7%7D%7D%3D2%5E%7B-2%7D%5Ccdot%5CBig2%5E%7B7%5Ccdot%5Cfrac%7Bx%2B17%7D%7Bx-3%7D%7D%5C%5C%5C%5C%5CBig2%5E%7B5%5Ccdot%5Cfrac%7Bx%2B5%7D%7Bx-7%7D%7D%3D%5CBig2%5E%7B7%5Ccdot%5Cfrac%7Bx%2B17%7D%7Bx-3%7D-2%7D%5C%5C%5C%5C5%5Ccdot%5Cfrac%7Bx%2B5%7D%7Bx-7%7D%3D7%5Ccdot%5Cfrac%7Bx%2B17%7D%7Bx-3%7D-2~~~~%5Cbigg%7C%5Ccdot%20%28x-7%29%28x-3%29%5Cneq0%5C%5C%5C%5C5%5Ccdot%28x%2B5%29%28x-3%29%3D7%5Ccdot%28x%2B17%29%28x-7%29-2%28x-7%29%28x-3%29%5C%5C%5C%5C5%5Ccdot%28x%5E2%2B2x-15%29%3D7%5Ccdot%28x%5E2%2B10x-119%29-2%28x%5E2-10x%2B21%29%5C%5C5x%5E2%2B10x-75%3D7x%5E2%2B70x-833-2x%5E2%2B20x-42%5C%5C10x-75%3D70x-833%2B20x-42)
80x=800; x = 10
<u><em>Проверка</em></u> :
![\Big{32}^\frac{10+5}{10-7}=0,25\cdot\Big{128}^\frac{10+17}{10-3}\\\\\Big{32}^\frac{15}3=0,25\cdot\Big{128}^\frac{27}7\\\\32^5=\dfrac 14\cdot\Big(2^7\Big)^\frac{27}7\\\\\Big(2^5\Big)^5=2^{-2}\cdot 2^{27}\\\\2^{25}=2^{25}](https://tex.z-dn.net/?f=%5CBig%7B32%7D%5E%5Cfrac%7B10%2B5%7D%7B10-7%7D%3D0%2C25%5Ccdot%5CBig%7B128%7D%5E%5Cfrac%7B10%2B17%7D%7B10-3%7D%5C%5C%5C%5C%5CBig%7B32%7D%5E%5Cfrac%7B15%7D3%3D0%2C25%5Ccdot%5CBig%7B128%7D%5E%5Cfrac%7B27%7D7%5C%5C%5C%5C32%5E5%3D%5Cdfrac%2014%5Ccdot%5CBig%282%5E7%5CBig%29%5E%5Cfrac%7B27%7D7%5C%5C%5C%5C%5CBig%282%5E5%5CBig%29%5E5%3D2%5E%7B-2%7D%5Ccdot%202%5E%7B27%7D%5C%5C%5C%5C2%5E%7B25%7D%3D2%5E%7B25%7D)
Ответ : 10
Думаю что это вы имели ввиду?
1 _ +4 5
5 4= 5 = 1
ответ 1
a = 12см, b = 12-4 = 8 см, P = (a + b) * 2, S = a * b
Р = (12 + 8) * 2 = 40 (см) - периметр прямоугольника
S = 12 * 8 = 96 (кв.см) - площадь прямоугольника
Периметр квадрата: Р = 4 * а = 40 см, а = 40 : 4 = 10 см - сторона квадрата
Площадь квадрата: S = а * а S = 10 * 10 = 100 (кв.см)