Question

Решите квадратное уравнение -6х2-х+1=0 Решите с подробными решениями. Спасибо

Answer 1

Извини, что грязно. Я на черновике решала.

Answer 2

Solving the Quadratic Equation -6x^2 - x + 1 = 0

To solve the quadratic equation -6x^2 - x + 1 = 0, we can use the quadratic formula:

Quadratic Formula: The solutions to the quadratic equation ax^2 + bx + c = 0 are given by: x = (-b ± √(b^2 - 4ac)) / (2a)

Applying the Quadratic Formula

Using the quadratic formula, we can find the solutions for the given quadratic equation -6x^2 - x + 1 = 0.

Coefficients: a = -6, b = -1, c = 1

Discriminant: The discriminant, D, is given by D = b^2 - 4ac.

Calculating Discriminant: D = (-1)^2 - 4*(-6)*1 = 1 - (-24) = 25

Finding the Solutions: The solutions for the given quadratic equation are: x = (-(-1) ± √(25)) / (2*(-6)) x = (1 ± 5) / (-12) x = (1 + 5) / (-12) = 6 / (-12) = -1/2 x = (1 - 5) / (-12) = -4 / (-12) = 1/3

Conclusion

The solutions to the quadratic equation -6x^2 - x + 1 = 0 are x = -1/2 and x = 1/3.