Question

1) 3х²-5х-2=0 решите

Answer 1

По Виета:
$x1 = - \frac{1}{3} \\ x2 = 2$

Answer 2

To solve the quadratic equation 3x² - 5x - 2 = 0, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

For the given equation, a = 3, b = -5, and c = -2.

Let's plug these values into the quadratic formula and calculate the solutions for x:

x = (5 ± √((-5)² - 4 * 3 * (-2))) / 2 * 3 x = (5 ± √(25 + 24)) / 6 x = (5 ± √49) / 6 x = (5 ± 7) / 6

Now, we'll calculate both possible solutions for x:

1. When we use the plus sign:

x₁ = (5 + 7) / 6 x₁ = 12 / 6 x₁ = 2

2. When we use the minus sign:

x₂ = (5 - 7) / 6 x₂ = -2 / 6 x₂ = -1/3

So, the solutions to the quadratic equation 3x² - 5x - 2 =