(5p^2-3)=1,085

Solution for (5p^2-3)=1,085 equation:

(5p^2-3)=1.085

We move all terms to the left:

(5p^2-3)-(1.085)=0

We add all the numbers together, and all the variables

(5p^2-3)-1.085=0

We get rid of parentheses

5p^2-3-1.085=0

We add all the numbers together, and all the variables

5p^2-4.085=0

a = 5; b = 0; c = -4.085;
Δ = b2-4ac
Δ = 02-4·5·(-4.085)
Δ = 81.7
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{-(0)-\sqrt{81.7}}{2*5}=\frac{0-\sqrt{81.7}}{10}
=-\frac{\sqrt{}}{10}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{81.7}}{2*5}=\frac{0+\sqrt{81.7}}{10}
=\frac{\sqrt{}}{10}
$