49x^2+1=82

Solution for 49x^2+1=82 equation:

Simplifying
49x2 + 1 = 82

Reorder the terms:
1 + 49x2 = 82

Solving
1 + 49x2 = 82

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 49x2 = 82 + -1

Combine like terms: 1 + -1 = 0
0 + 49x2 = 82 + -1
49x2 = 82 + -1

Combine like terms: 82 + -1 = 81
49x2 = 81

Divide each side by '49'.
x2 = 1.653061224

Simplifying
x2 = 1.653061224

Take the square root of each side:
x = {-1.285714286, 1.285714286}