Answer:
3.36643191324
-1.36643191324
Explanation:
subtract 23 from both sides so that everything is on one side
5x²-10x-23=0
you can't factor this, so you need to use the quadratic formula:
(-b±√(b²-4*a*c))/2a
in our case, a= 5 b= -10 and c = -23
(-(-10)±√(10²-4*5*(-23)))/(2*5)
(10±√(100+460))/10
(10±√560)/10
we solve this twice. once where ± is + and again where ± is -
(10+√560)/10 = 3.36643191324
(10-√560)/10= -1.36643191324