Question

10х=-8х^2-3решите пожалуйста через дискриминант,умоляю очень нужно...​

Answer 1

Ответ:

ответ: х1 = - 0,75

х2 = - 0,5

Answer 2

Solving the Quadratic Equation Using the Discriminant

To solve the quadratic equation 10x = -8x^2 - 3 using the discriminant, we can follow these steps:

1. First, we need to rewrite the equation in the standard form ax^2 + bx + c = 0. 2. Then, we can identify the coefficients a, b, and c. 3. After that, we can calculate the discriminant D = b^2 - 4ac. 4. Finally, we can use the discriminant to determine the nature of the roots and solve for x.

Let's go through each step in detail.

Step 1: Rewrite the Equation in Standard Form

The given equation is 10x = -8x^2 - 3. To rewrite it in the standard form, we move all the terms to one side of the equation to set it equal to zero: 8x^2 + 10x + 3 = 0.

Step 2: Identify the Coefficients

From the standard form, we can identify the coefficients: - a = 8 - b = 10 - c = 3

Step 3: Calculate the Discriminant

Now, we can calculate the discriminant using the formula D = b^2 - 4ac: D = 10^2 - 4 * 8 * 3 D = 100 - 96 D = 4

Step 4: Determine the Nature of the Roots and Solve for x

The discriminant D = 4 is positive, which means the equation has two distinct real roots. We can use the quadratic formula to solve for x: x = (-b ± √D) / (2a) x = (-10 ± √4) / (2 * 8) x = (-10 ± 2) / 16

So, the solutions for x are: x = (-10 + 2) / 16 = -8 / 16 = -0.5 x = (-10 - 2) / 16 = -12 / 16 = -0.75

Therefore, the solutions to the equation 10x = -8x^2 - 3 using the discriminant are x = -0.5 and x = -0.75.