Question

Solve:
x²-14x + 58=0

Answer 1

`x = 7 + 3i\\\\x = 7 -3i`

Explanation:

`~~~~~~~x^2 -14x +58 =0\\\\\implies x^2 -14x = -58\\\\\implies x^2 -2 \cdot 7x + 7^2 = -58 +7^2\\\\\implies (x-7)^2 = -58 +49\\\\\implies (x-7)^2 = -9\\\\\implies x -7 = \pm√(-9)\\\\\implies x -7 = \pm3i\\\\\implies x = 7 \pm3i`