Question

Again need help with these ones I don’t understand and they have to show work

Answer 1

Let’s rewrite the given equation by adding 81 to both sides:
$x^2 - 18x + 81= 65 + 81$
$(x - 9)^2 = 146$
Taking the square root of both sides, we get
$x - 9 = \pm\sqrt{146}$
or
$x = 9 \pm \sqrt{146} = 9 \pm 12.1 = 21.1\:\text{and}\:-3.1$