Answer:
Either
x = 4+3i /5  or   x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac  /2a
First lets compare the equation 5x² - 8x + 5 = 0  to the standard quadratic equation  ax² + bx + c
a = 5 Â b = -8 Â and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac  /2a
  = -(-8)±√(-8)² - 4(5)(5)  /2(5)
  = 8 ±√64-100 /10
  =8 ±√-36  /10
  = 8 ±√36 . √-1   /10              note that √-1 = i
   =8±6i  /10
    =[tex]\frac{8}{10}[/tex]  ± [tex]\frac{6 i}{10}[/tex]
     =[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
    Â
Either
x = 4+3i /5  or   x = 4-3i /5
