Question

(х^2-7х+12)/(х-3)=0,01

Answer 1

Ответ:

4,01

Пошаговое объяснение:

Answer 2

To solve the equation:

(х^2 - 7х + 12) / (х - 3) = 0.01

We can start by multiplying both sides of the equation by (х - 3) to eliminate the denominator:

(х^2 - 7х + 12) = 0.01(х - 3)

Expanding the right side:

х^2 - 7х + 12 = 0.01х - 0.03

Next, let's combine like terms by subtracting 0.01х and adding 0.03 to both sides:

х^2 - 7х - 0.01х = 12 + 0.03

Simplifying:

х^2 - 7.01х = 12.03

Now, we have a quadratic equation. To solve it, we can set it equal to zero by subtracting 12.03 from both sides:

х^2 - 7.01х - 12.03 = 0

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is a bit more complex, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 1, b = -7.01, and c = -12.03. Substituting these values into the formula:

x = (-(-7.01) ± √((-7.01)^2 - 4(1)(-12.03))) / (2(1))

Simplifying:

x = (7.01 ± √(49.1401 + 48.12)) / 2

x = (7.01 ± √97.2601) / 2

Now, we can calculate the two possible solutions:

x₁ = (7.01 + √97.2601) / 2 x₂ = (7.01 - √97.2601) / 2

Calculating the square root:

x₁ = (7.01 + 9.86) / 2 x₂ = (7.01 - 9.86) / 2

Simplifying:

x₁ = 16.87 / 2 x₂ = -2.85 / 2

x₁ = 8.435 x₂ = -1.425

Therefore, the solutions to the equation (х^2 - 7х + 12) / (х - 3) = 0.01 are x₁ = 8.435 and x₂ = -1.425.