(3/4)d+(1/4)d-6.85=-5.94

Solution for (3/4)d+(1/4)d-6.85=-5.94 equation:

(3/4)d+(1/4)d-6.85=-5.94

We move all terms to the left:

(3/4)d+(1/4)d-6.85-(-5.94)=0


Domain of the equation: 4)d!=0

d!=0/1

d!=0

d∈R


We add all the numbers together, and all the variables

(+3/4)d+(+1/4)d-6.85-(-5.94)=0

We add all the numbers together, and all the variables

(+3/4)d+(+1/4)d-0.91=0

We multiply parentheses

3d^2+d^2-0.91=0

We add all the numbers together, and all the variables

4d^2-0.91=0

a = 4; b = 0; c = -0.91;
Δ = b2-4ac
Δ = 02-4·4·(-0.91)
Δ = 14.56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{14.56}}{2*4}=\frac{0-\sqrt{14.56}}{8}
=-\frac{\sqrt{}}{8}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{14.56}}{2*4}=\frac{0+\sqrt{14.56}}{8}
=\frac{\sqrt{}}{8}
$