7r²+9=1
the equation is contradictory, just to prove
7r² + 9 = 1
7r² + 9 -1 = 0
7r² + 8 = 0
We write the equation in the form of products of
7 * (r² + 8/7) = 0
the product is equal to 0 when one of the factors is zero
7≠0 ∨ (r² + 8/7) = 0
r² ≠ - 8/7
any number squared is not negative.
We proved that none of the factors is not equal to zero , so the right side of the equation is not equal to the left . The equation is contradictory