Solve the equation, if possible. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.) x

Question

3 years ago

10

2 = (x + 3)(x − 3) + 9

1 answer:

UkoKoshka [18] · Answer 1 · 2021-12-10T17:06:54+03:00

Answer:

REALS. all real numbers are solution for the equation

Step-by-step explanation:

for the equation

x² = (x + 3)*(x − 3) + 9

distributing the terms in the parenthesis

x² = (x + 3)*(x − 3) + 9 = [x² - 3*x + 3*x - 3*3 ] + 9

x² = x² - 9 + 9

0 = 0

since this statement will be true regardless of the value of x , then the equation has solution for all real numbers .