Question

X2+xy=8 y2+xy=8 pleaseeee срочнооо

Answer 1

Привет!!! х2+ху=8 далее х (х+у)=8 следующее выражение y2+xy=8 далее у (2+х)=8

Answer 2

To solve the system of equations $x^2 + xy = 8$ and $y^2 + xy = 8$, we can use the method of substitution. Let's go step by step:

Step 1: Solve one of the equations for one variable in terms of the other variable. Step 2: Substitute the expression from Step 1 into the other equation. Step 3: Solve the resulting equation to find the values of the variables. Step 4: Check for any extraneous solutions.

Let's start with Step 1:

From the first equation, $x^2 + xy = 8$, we can solve for $x$ in terms of $y$: $x^2 + xy = 8 \implies x^2 = 8 - xy \implies x = \sqrt{8 - xy} \text{ (taking the positive square root)}$

Now, let's move to Step 2:

Substitute the expression for $x$ from above into the second equation, $y^2 + xy = 8$: $y^2 + \left(\sqrt{8 - xy}\right)y = 8$

Now, move to Step 3:

Let's solve for $y$: $y^2 + \left(\sqrt{8 - xy}\right)y - 8 = 0$

This is a quadratic equation in terms of $y$. We can solve it using the quadratic formula: $y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

where $a = 1$, $b = \sqrt{8 - xy}$, and $c = -8$.

Now, before we proceed further, we need to know the values of $x$ and $y$ at this point. In the current form, we can't determine their exact values because we have two unknowns ($x$ and $y$) and only one equation. Please provide the values of either $x$ or $y$ to proceed with the calculation and find the values of the other variable.