Solve the quadratic equation 5xpower2-3x+8=0

online, use ^ for powers to avoid all the cumbersome and sometimes ambiguous words.

5x^2 - 3x + 8 = 0
This has no real solutions. How do you know? The discriminant (b^2-3ac) is negative

So, using the quadratic formula, you get

x = (3±√(3^2-4*5*8))/(2*5) = (3±√-151)/10
or
(3±√151 i)/10