To solve the equation х2−x+1х^2-x+1х2−x+1x2−x−7x^2-x-7x2−x−7 = 65, we can first expand the expression on the left side:
х2−x+1х^2-x+1х2−x+1x2−x−7x^2-x-7x2−x−7 = x^4 - x^3 - 7x^2 + x^3 - x^2 - 7x + x^2 - x + 1 = x^4 - 7x^2 - 7x + 1
Now we set this expression equal to 65:
x^4 - 7x^2 - 7x + 1 = 65
Subtracting 65 from both sides, we get:
x^4 - 7x^2 - 7x + 1 - 65 = 0
x^4 - 7x^2 - 7x - 64 = 0
Now we have a quartic equation that can be difficult to solve. One way to solve this would be to factor the equation or use numerical methods like Newton-Raphson method to find the roots.
To solve the equation х2−x+1х^2-x+1х2−x+1x2−x−7x^2-x-7x2−x−7 = 65, we can first expand the expression on the left side:
х2−x+1х^2-x+1х2−x+1x2−x−7x^2-x-7x2−x−7 = x^4 - x^3 - 7x^2 + x^3 - x^2 - 7x + x^2 - x + 1 = x^4 - 7x^2 - 7x + 1
Now we set this expression equal to 65:
x^4 - 7x^2 - 7x + 1 = 65
Subtracting 65 from both sides, we get:
x^4 - 7x^2 - 7x + 1 - 65 = 0
x^4 - 7x^2 - 7x - 64 = 0
Now we have a quartic equation that can be difficult to solve. One way to solve this would be to factor the equation or use numerical methods like Newton-Raphson method to find the roots.