Question

2 2x + 12x - 14 Корни уравнения

Answer 1

Ответ:решение во вложении

Объяснение:

Answer 2

To find the roots of the equation 2x + 12x - 14 = 0, we can solve it by factoring or using the quadratic formula.

Method 1: Factoring Rearrange the equation: 14 = 2x + 12x Combine like terms: 14 = 14x Divide both sides by 14: x = 1

Therefore, the equation has one root, which is x = 1.

Method 2: Quadratic Formula The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a)

For the equation 2x + 12x - 14 = 0, the coefficients are: a = 2 b = 12 c = -14

Substitute these values into the quadratic formula: x = (-12 ± √(12² - 4 * 2 * -14)) / (2 * 2) x = (-12 ± √(144 + 112)) / 4 x = (-12 ± √256) / 4 x = (-12 ± 16) / 4

This gives us two possible solutions: x = (-12 + 16) / 4 = 4 / 4 = 1 x = (-12 - 16) / 4 = -28 / 4 = -7

Therefore, the equation has two roots: x = 1 and x = -7.