Answer:
x = 8.64
x = - 7.64
Both to 2 d.p
Step-by-step explanation:
Firstly, - 8 both side - cancels the +8 & get the surd to equal x - 8
Then, square root both side, to get:
x-2= x^2 - 64
+ 2 both side
x = x^2 - 66
-x
0= x^2 - 66 - x
x^2 - x - 66 = 0
general equation for quadratic is ax^2 + bx + c
Now, we can find the value of a, b, c using x^2 - x - 66 = 0
a=1
b= - 1
c= - 66
Now use quadratic formula
x = -b±√(b²-4ac))/(2a
= --1 + √ - 1 x - 1 - 4x1x-66 / 2x1
= 8.639.....
Now repeat with - b - & not - b +
x = -b±√(b²-4ac))/(2a
= --1 - √ - 1 x - 1 - 4x1x-66 / 2x1
= - 7.639.......