45u2+38=43

Solution for 45u2+38=43 equation:

45u^2+38=43

We move all terms to the left:

45u^2+38-(43)=0

We add all the numbers together, and all the variables

45u^2-5=0

a = 45; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·45·(-5)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30}{2*45}=\frac{-30}{90}
=-1/3
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30}{2*45}=\frac{30}{90}
=1/3
$