Question

ДАЮ 100 БАЛЛОВ!!!!!! АЛГЕБРА 10 КЛасс, Решение уровнения графически, помогите срочно пожалуйста Определи корни уравнения 4/π⋅x−1=sinx графически. Указания: 1. число π в ходе решения заменяй на 3,1. 2. Ответ округляй до десятых. 2. В случае отсутствия точек пересечения графиков в ответе записать — корней нет. Ответ: x=?

Answer 1

Ответ:   х=1,5 .

$\dfrac{4}{\pi}\cdot x-1=sin\, x\\\\y=\dfrac{4}{\pi}\cdot x-1\ \ ,\ \ y=\dfrac{4}{3,1}\cdot x-1\ \ ,\ \ y=1,3x-1\\\\\\x\ |\ \ \ 0\ \, \ |\ \ \ 1\ \ |\\y\ |\ -1\ |\ 0,3\ |$

Точка пересечения графиков имеет координаты  А(1,538;0,999) .

Значит , решение уравнения с точностью до десятых - это  х=1,5 .

Answer 2

To solve the equation 4/π⋅x−1=sinx graphically, we need to find the points of intersection between the graphs of the two functions: y = 4/π⋅x−1 and y = sinx.

Here's how you can solve it step by step:

Step 1: Graph the functions

First, let's graph the two functions on the same coordinate plane. The graph of y = 4/π⋅x−1 is a straight line, and the graph of y = sinx is a sinusoidal curve.

Step 2: Find the points of intersection

Next, we need to find the points where the two graphs intersect. These points represent the solutions to the equation.

To find the points of intersection, we can visually identify the x-values where the two graphs intersect. We can also use a graphical calculator or software to find these points more accurately.

Step 3: Determine the solutions

Once we have identified the x-values of the points of intersection, we can round them to the nearest tenth as instructed.

If there are points of intersection, we can write the solutions as x = [rounded x-values]. If there are no points of intersection, we can write the answer as "No solutions" or "No roots."

Unfortunately, without the actual graphs or more specific instructions, it is not possible to provide the exact solutions to the equation. However, by following the steps outlined above, you should be able to solve the equation graphically and determine the approximate solutions.

I hope this helps! Let me know if you have any further questions.