(1/4)m=5

Simple and best practice solution for (1/4)m=5 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 (1/4)m=5 equation:



(1/4)m=5
We move all terms to the left:
(1/4)m-(5)=0
Domain of the equation: 4)m!=0
m!=0/1
m!=0
m∈R
We add all the numbers together, and all the variables
(+1/4)m-5=0
We multiply parentheses
m^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:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{20}=\sqrt{4*5}=\sqrt{4}*\sqrt{5}=2\sqrt{5}$
$m_{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} $
$m_{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:

| 5g-5g=-15 | | x+10=-3x+30 | | -6/5w=-18 | | -0.8p+3.95=p+0.8 | | -4/5p+70/20=p+4/5 | | 22=x/4-12 | | 6−x7=8 | | -0.3y+3-0.2y=5 | | 6−x/7=8 | | 6x+7=5x+20 | | x+11=2x+10=5x-9 | | 5=10x-8 | | -2(9x+1)=-14 | | 15x+10=16x+4=180 | | 6p-4=5p+26 | | 6x=16=50 | | 4y+60+4=180 | | A=(x^2+B) | | 3.1x+54.3=23.7-12.2x | | -0.8p+79/20=p+0.8 | | 7(5+2c)+3c=7(5+2c)+3 | | -0.8p-3.95=p+0.8 | | -11d-25=-79-5d | | X-4y=52 | | A=(x2+B) | | |9x+1|-8=-5 | | A=(2x+B) | | 6-x/12=10 | | 2(3^4x)-28=3^2x | | 2x-7x-21=14 | | 12X+12y=6 | | x+11=2x+10 |

Equations solver categories