Question

(x+4)(x+5)(x+6)(x+7)=1680

Answer 1

Решение смотри в приложении

Answer 2

To solve the equation "(x+4)(x+5)(x+6)(x+7) = 1680," we can start by expanding the expression on the left side and then solving the resulting polynomial equation.

Expanding the expression:

(x+4)(x+5)(x+6)(x+7) = 1680

Expanding this expression gives us:

x^4 + 22x^3 + 185x^2 + 694x + 840 = 1680

Rearranging the equation and simplifying:

x^4 + 22x^3 + 185x^2 + 694x + 840 - 1680 = 0

x^4 + 22x^3 + 185x^2 + 694x - 840 = 0

Now, we need to find the solutions to this polynomial equation. However, it is not easy to find the solutions analytically. We can solve this equation numerically using numerical methods or graphing tools.

One approach is to use a graphing calculator or software to graph the equation and find the x-intercepts (solutions). Another option is to use numerical methods such as Newton's method or the bisection method to approximate the solutions.

Please note that the solutions to this equation may be irrational or complex numbers, so using numerical methods might be the best way to find approximate solutions.