X+5.3=4x2

Solution for X+5.3=4x2 equation:

X+5.3=4X^2

We move all terms to the left:

X+5.3-(4X^2)=0

determiningTheFunctionDomain
-4X^2+X+5.3=0

a = -4; b = 1; c = +5.3;
Δ = b2-4ac
Δ = 12-4·(-4)·5.3
Δ = 85.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{85.8}}{2*-4}=\frac{-1-\sqrt{85.8}}{-8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{85.8}}{2*-4}=\frac{-1+\sqrt{85.8}}{-8}
$