(1/2)d-3=2

Simple and best practice solution for (1/2)d-3=2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (1/2)d-3=2 equation:



(1/2)d-3=2
We move all terms to the left:
(1/2)d-3-(2)=0
Domain of the equation: 2)d!=0
d!=0/1
d!=0
d∈R
We add all the numbers together, and all the variables
(+1/2)d-3-2=0
We add all the numbers together, and all the variables
(+1/2)d-5=0
We multiply parentheses
d^2-5=0
a = 1; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·1·(-5)
Δ = 20
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{20}=\sqrt{4*5}=\sqrt{4}*\sqrt{5}=2\sqrt{5}$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{5}}{2*1}=\frac{0-2\sqrt{5}}{2} =-\frac{2\sqrt{5}}{2} =-\sqrt{5} $
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{5}}{2*1}=\frac{0+2\sqrt{5}}{2} =\frac{2\sqrt{5}}{2} =\sqrt{5} $

See similar equations:

| -8=-8u+4(u+6) | | 5.5*x=2.9 | | 10t+13=50 | | -14+a=22 | | -8=4-a | | 3/4x+15=45-4x+3 | | 4z+9=2z+16 | | j+2=-7 | | 16=6u+u | | 10=6g-4g | | X-0.5(x+38)=0 | | 7+3q=12+3q | | 8=7r-5r | | 2x+5+3x+x=22 | | 7/4*x=21 | | 3x^2=192√x | | -30=5(x+2) | | 6v+2=-28 | | 2n+18=-2-3n | | 3x^2-192√x=0 | | -54=-(1=3x)= | | (2x+2)=(5x+3)=(2x+2)=(5x+3) | | 10+x=5(1-5x+2) | | |4x+8|+12=4 | | 20x=8.40 | | 1/4x-5=10/1/2 | | 6x+2=9x+12 | | 35a-29=14-4a | | 6=(3/2+3y) | | 5(x+4)-1=2x+3(5+x) | | 6+4r=r-6 | | 8x+-x=25-20 |

Equations solver categories