Answer:
x = 5+4√3 or 5–4√3
Step-by-step explanation:
x² – 23 = 10x
x² – 10x –23 = 0
Using quadratic formula
a = 1, b = –10 and c = –23
x = –b ± (√b² – 4ac)/2a
–(–10) ± (√(-10)² – 4(1)(–23))/2(1)
=>10 ± (√100 + 92)/2
=> 10 ± (√192)/2
=> (10 ± 13.856)/2
x = (10 + 13.856)/2 or (10 – 13.856)/2
x = 11.828 or –1.928
x = 5+4√3 or 5–4√3
