Question

Y=x^2, y=8-x^2 как решить​

Answer 1

x^2=8-x^2

2x^2=8

x^2=4

x=2

Answer 2

To solve the system of equations y = x^2 and y = 8 - x^2, you need to find the values of x and y that satisfy both equations simultaneously. In other words, you're looking for the points where the two curves intersect.

Setting the right-hand sides of the equations equal to each other, we get:

x^2 = 8 - x^2

Now, let's solve for x:

2x^2 = 8

Divide both sides by 2:

x^2 = 4

Now, take the square root of both sides:

x = ±√4

x = ±2

Now that we have the x-values, we can find the corresponding y-values by plugging them back into either of the original equations. Let's use y = x^2:

For x = 2:

y = (2)^2 = 4

For x = -2:

y = (-2)^2 = 4

So, the solutions to the system of equations are:

(2, 4) and (-2, 4)