Question

X2+23x-78=0 помогите решить методом подбора

Answer 1

2х+23х-78=0
Ищем дискриминант
д=23-4*2*-78=-647
д<0 значит уравнение не имеет корней.

Answer 2

$x^{2} +23x-78=0$
По теореме Виета:
$\left \{ {{x_1+x_2= -23 } \atop {x_1*x_2=-78}} \right.$
$x_1 = -26$
$x_2=3$

Answer 3

Solving the Equation x^2 + 23x - 78 = 0 using the Trial and Error Method

To solve the equation x^2 + 23x - 78 = 0 using the trial and error method, we need to find two numbers whose sum is 23 and whose product is -78. These numbers will be the solutions to the equation.

Let's break down the process step by step:

1. Find the factors of -78: The factors of -78 are (-1, 78), (-2, 39), (-3, 26), (-6, 13), (1, -78), (2, -39), (3, -26), (6, -13).

2. Check the sum of each pair of factors: We are looking for a pair of factors whose sum is 23. After checking all the pairs, we find that the pair (-3, 26) has a sum of 23.

3. Write the equation in factored form: Now that we have the factors, we can write the equation in factored form. The equation x^2 + 23x - 78 = 0 can be factored as (x - 3)(x + 26) = 0.

4. Solve for x: To find the solutions, we set each factor equal to zero and solve for x. Setting (x - 3) = 0, we get x = 3. Setting (x + 26) = 0, we get x = -26.

Therefore, the solutions to the equation x^2 + 23x - 78 = 0 are x = 3 and x = -26.

Note: The search results did not provide specific information on solving the equation x^2 + 23x - 78 = 0 using the trial and error method. However, the trial and error method is a commonly used technique for solving quadratic equations.