Question

8 x (x-7)+ 15 x=2. ​

Answer 1

Ответ:

8 х (х-7)+15

2х-14+15

2х+1

Answer 2

To solve the equation 8x(x-7) + 15x = 2, follow these steps:

Step 1: Distribute the 8x on the left side of the equation: 8x^2 - 56x + 15x = 2

Step 2: Combine the like terms on the left side of the equation: 8x^2 - 41x = 2

Step 3: Move all the terms to one side of the equation to set it equal to zero: 8x^2 - 41x - 2 = 0

Step 4: Solve the quadratic equation. You can use the quadratic formula for this: x = (-b ± √(b^2 - 4ac)) / 2a

In this case, the coefficients are: a = 8 b = -41 c = -2

Plug these values into the quadratic formula:

x = (41 ± √((-41)^2 - 4 * 8 * (-2))) / (2 * 8)

Calculate the discriminant: Discriminant = (-41)^2 - 4 * 8 * (-2) = 1681 + 64 = 1745

Now substitute the discriminant back into the formula:

x = (41 ± √1745) / 16

Since the discriminant is not a perfect square, we'll leave it in the radical form. So, the solutions are:

x = (41 + √1745) / 16 x = (41 - √1745) / 16

These are the two solutions for the given equation.