Решите уравнения: х²+14=9х; х²+10=7х; х²-6х=16; х²-5х=14.

Question

Решите уравнения: х²+14=9х; х²+10=7х; х²-6х=16; х²-5х=14.

Answer 1

X²-9x+14=0
x1 + x2 = 9;
x1*x2 = 14;
x1 = 2;
x2 = 7;

x²-7x+10=0;
x1 + x2 = 7;
x1*x2 = 10;
x1 = 2;
x2 = 5;

x²-6x-16=0;
D = (-6)² - 4 * 1 * (-16) = 36 + 64 = 100
x1 = (6 - 10)/2 = -2;
x2 = (6 + 10)/2 = 8;

x²-5x-14=0;
x1 + x2 = 5;
x1*x2 = -14;
x1 = -2;
x2 = 7;