Question

If y=x+5 and y²-m=x²+nx for all values of x, where m and n are constants, what is the value of n?

Answer 1

To find the value of n in the equation y² - m = x² + nx, substitute the given equation y = x + 5. Simplify the equation and compare the coefficients of the terms with x to find that n = 10.

Step-by-step explanation:

To find the value of n, we can substitute the given equations into the equation y² - m = x² + nx. We have y = x + 5, so we can substitute this into the equation.

Substituting y = x + 5 into the equation gives us (x + 5)² - m = x² + nx. Expanding the binomial and simplifying the equation leads to x² + 10x + 25 - m = x² + nx.

Comparing the coefficients of the terms with x, we have n = 10. Therefore, the value of n is 10.