p^2+1.74p=0.25

Solution for p^2+1.74p=0.25 equation:

p^2+1.74p=0.25

We move all terms to the left:

p^2+1.74p-(0.25)=0

We add all the numbers together, and all the variables

p^2+1.74p-0.25=0

a = 1; b = 1.74; c = -0.25;
Δ = b2-4ac
Δ = 1.742-4·1·(-0.25)
Δ = 4.0276
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.74)-\sqrt{4.0276}}{2*1}=\frac{-1.74-\sqrt{4.0276}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.74)+\sqrt{4.0276}}{2*1}=\frac{-1.74+\sqrt{4.0276}}{2}
$