Question

Как решать это уровнение - (^) - квадрате x^-x-6=0

Answer 1

X^2 - x - 6 = 0 
(x - 3) (x + 2)= 0 
x = 3;
x = - 2 

Answer 2

Решается очень просто по теореме Виета:
$x^2-x-6=0; \\ x_1=3;x_2=-2$
Проверка:
$x_1+x_2=-b \\ 3-2=1; \\ x_1*x_2=c; \\ 3*(-2)=-6$

Answer 3

Solution to the Equation x^2 - x - 6 = 0

To solve the equation x^2 - x - 6 = 0, we can use various methods such as factoring, completing the square, or using the quadratic formula. Let's explore the factoring method.

1. Factoring: - Write the equation in the form of (x - a)(x - b) = 0, where a and b are the roots of the equation. - In this case, we have x^2 - x - 6 = 0. - We need to find two numbers whose product is -6 and whose sum is -1 (the coefficient of x). - The numbers that satisfy these conditions are -3 and 2. - Therefore, we can factor the equation as (x - 3)(x + 2) = 0. - Setting each factor equal to zero, we get x - 3 = 0 and x + 2 = 0. - Solving these equations, we find x = 3 and x = -2.

Therefore, the solutions to the equation x^2 - x - 6 = 0 are x = 3 and x = -2.