4u^2+49u+45=0

Solution for 4u^2+49u+45=0 equation:

4u^2+49u+45=0

a = 4; b = 49; c = +45;
Δ = b2-4ac
Δ = 492-4·4·45
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(49)-41}{2*4}=\frac{-90}{8}
=-11+1/4
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(49)+41}{2*4}=\frac{-8}{8}
=-1
$