Mathematics: Explain why the equation(x-2)^2-40=9 has two solutions. then solve the equation to find the solutions. show all work and i will give brainliest.

Explain why the equation(x-2)^2-40=9 has two

Ответ:

amandaelisantos

15.03.2022

Not too good with an explanation, but when seeing the (x-2)^2, you understand that the highest power or the leading term should be $x^{2}$ . The power of the leading or the highest power would tell you how many solutions that equation has. For example, X + 3 = 0, has 1 solution, x^10 + 1 = 0 has 10 solutions.

$(x - 2)^{2} - 40 = 9$

(x - 2)(x-2) - 40 - 9 = 0