Question

6x^2-8x-9=0 Квадратное уравнение. Помогите умничи

Answer 1

Д=в²-4ас =8²+4*6*9
Х¹=8+√280/12
Х²=8-√280/12

Answer 2

Vot tak решается. смотрите фото

Answer 3

Quadratic Equation: 6x^2 - 8x - 9 = 0

To solve the quadratic equation 6x^2 - 8x - 9 = 0, we can use the quadratic formula, which states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Let's calculate the solutions using this formula.

Applying the Quadratic Formula:

For the equation 6x^2 - 8x - 9 = 0, we can identify the values of a, b, and c as follows: - a = 6 - b = -8 - c = -9

Now, we can substitute these values into the quadratic formula to find the solutions for x.

Calculation:

Using the quadratic formula: x = (-(-8) ± √((-8)^2 - 4*6*(-9))) / (2*6)

Solving the discriminant: b^2 - 4ac = (-8)^2 - 4*6*(-9) = 64 + 216 = 280

Now, we can find the solutions for x: x = (8 ± √(280)) / 12

Final Solutions:

The solutions for the quadratic equation 6x^2 - 8x - 9 = 0 are: x = (8 + √(280)) / 12 and x = (8 - √(280)) / 12

These are the two real solutions for the given quadratic equation.