• Найдите корни уравнения 3(x-5)=x+3 1,5(x+8)=-4x+1 3\4(x+8)=2x+1

Ответы 1

  • 1) 3(x - 5) = x + 3 3x - 15 = x + 33x - x - 15 = 33x - x = 3 + 153x - x = 18x(3 - 1) = 182x = 18x = 18/2x = 9Ответ: 92) 1,5(x + 8) = -4x + 1 1 5/10(x + 8) = -4x + 1 1 1/2(x + 8) = -4x + 1 3/2(x + 8) = -4x + 1 3/2x + 8 * 3/2 = -4x + 13/2x + 3 * 8/2 = -4x + 13/2x + 3 * 4 = -4x + 13/2x + 12 = -4x + 13/2x + 4x = 1 - 12x(3/2 + 4) = 1 - 12x(3/2 + 8/2) = 1 - 12x(3 + 8)/2 = 1 - 1211/2x = 1 - 1211/2x = -(-1 + 12)11/2x = -(12 - 1)11/2x = -11x = -11 : 11/2x = -11 * 2/11x = -2 * 11/11x = -2 * 1x = -2Ответ: -23) 3/4(x + 8) = 2x + 13/4x + 8 * 3/4 = 2x + 13/4x + 3 * 8/4 = 2x + 13/4x + 3 * 2 = 2x + 13/4x + 6 = 2x + 16 = 2x + 1 - 3/4x6 - 1 = 2x - 3/4x5 = 2x - 3/4x5 = x(2 - 3/4)5 = x(8/4 - 3/4)5 = x(8 - 3)/45 = x5/4x = 5 : 5/4x = 5 * 4/5x = 4 * 5/5x = 4 * 1x = 4Ответ: 4
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