x*2^-2=0.375

Solution for x*2^-2=0.375 equation:

x*2^-2=0.375

We move all terms to the left:

x*2^-2-(0.375)=0

We add all the numbers together, and all the variables

x*2^-2.375=0

Wy multiply elements

2x^2-2.375=0

a = 2; b = 0; c = -2.375;
Δ = b2-4ac
Δ = 02-4·2·(-2.375)
Δ = 19
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{-(0)-\sqrt{19}}{2*2}=\frac{0-\sqrt{19}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{19}}{2*2}=\frac{0+\sqrt{19}}{4}
=\frac{\sqrt{}}{4}
$