Question

2х^2-х-3=0 как это решить помогите пожалуйста

Answer 1

2х² - х - 3 = 0

D = b² - 4ac = (-1)² - 4 · 2 · (-3) = 1 + 24 = 25

√D = √25 = ±5

х = (-b±√D)/2a

х₁ = (1-5)/(2·2) = (-4)/4 = -1

х₂ = (1+5)/(2·2) = 6/4 = 3/2 = 1 целая 1/2 = 1,5

Ответ: (-1); 1,5.

Answer 2

Ответ: -1; 1.5

Объяснение:

2х²-х-3=0

а=2; b=-1; с=-3; дискриминант D=b²-4ac=(-1)²-4*2*(-3)=25=5²

x₁,₂=(-b±√D)/2a=(-(-1)±√25)/(2*2)=(1±5)/4; х₁=(1+5)/4=6/4=1.5; х₂=-4/4=-4

Answer 3

Solving the Quadratic Equation 2x^2 - x - 3 = 0

To solve the quadratic equation 2x^2 - x - 3 = 0, we can use the quadratic formula, which states that for an equation of 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 2x^2 - x - 3 = 0, we have: a = 2, b = -1, and c = -3.

Using the quadratic formula: x = (-(-1) ± √((-1)^2 - 4*2*(-3))) / (2*2) x = (1 ± √(1 + 24)) / 4 x = (1 ± √25) / 4 x = (1 ± 5) / 4

So, the solutions for x are: x = (1 + 5) / 4 = 6 / 4 = 1.5 x = (1 - 5) / 4 = -4 / 4 = -1

Therefore, the solutions for the equation 2x^2 - x - 3 = 0 are: x = 1.5 and x = -1.

I hope this helps! If you have any further questions, feel free to ask.