Question

КАК НАХОДИТЬ ТОЧКИ ПЕРЕСЕЧЕНИЯ ПАРАБОЛЫ И ПРЯМОЙ?? а)y=x2 y=x-3Ребят, я в 7 классе учусть только сегодня прошли тему.как можно проще)

Answer 1

Т.к. y одинаковы получаем X^2=X-3

 X^2-X+3=0

D<0, то точек  пересечений нет

 

1)Приравниваем

2)Решаем получившееся уравнение

3)Записываем ответ

Answer 2

х2=х-3

х2-х+3=0

Д=1-12 <0 значит точек пересечения нет

Answer 3

Finding the Intersection Points of a Parabola and a Line

To find the intersection points of a parabola and a line, you can use the method of substitution or elimination. Let's consider the given equations:

Parabola Equation: y = x^2 Line Equation: y = x - 3

Method 1: Substitution

1. Substitute the Line Equation into the Parabola Equation: - Replace y in the parabola equation with x - 3: x^2 = x - 3

2. Solve for x: - Rearrange the equation to set it to zero: x^2 - x + 3 = 0

3. Find the Solutions for x: - Use the quadratic formula to solve for x: x = (-b ± √(b^2 - 4ac)) / (2a)

4. Find the Corresponding y Values: - Substitute the obtained x values back into the line equation to find the corresponding y values.

Method 2: Elimination

1. Set the Equations Equal to Each Other: - Set the parabola equation equal to the line equation: x^2 = x - 3

2. Rearrange the Equation: - Set the equation to zero: x^2 - x + 3 = 0

3. Solve for x: - Use the quadratic formula to solve for x: x = (-b ± √(b^2 - 4ac)) / (2a)

4. Find the Corresponding y Values: - Substitute the obtained x values back into the line equation to find the corresponding y values.

By following these steps, you can find the points of intersection between the parabola and the line. Good luck with your studies!