Question

by using the completing the square show that 4x²+3x+5 =0 has no real roots

Answer 1

2
$2x {2} + 3x + 5$

Answer 2

-b±root(b^2-4ac)/2a
-3±root(9-4×5×4)/2×4
-3±root(9-80)/8
-3±root(-71)/8
-3±root71i/8
roots are
-3+root71i/8 ,-3-root71i/8 are roots which are not real