If it's not what You are looking for type in the equation solver your own equation and let us solve it.
18=1/2(4t)2
We move all terms to the left:
18-(1/2(4t)2)=0
Domain of the equation: 24t2)!=0We add all the numbers together, and all the variables
t!=0/1
t!=0
t∈R
-(+1/24t2)+18=0
We get rid of parentheses
-1/24t2+18=0
We multiply all the terms by the denominator
18*24t2-1=0
Wy multiply elements
432t^2-1=0
a = 432; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·432·(-1)
Δ = 1728
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1728}=\sqrt{576*3}=\sqrt{576}*\sqrt{3}=24\sqrt{3}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{3}}{2*432}=\frac{0-24\sqrt{3}}{864} =-\frac{24\sqrt{3}}{864} =-\frac{\sqrt{3}}{36} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{3}}{2*432}=\frac{0+24\sqrt{3}}{864} =\frac{24\sqrt{3}}{864} =\frac{\sqrt{3}}{36} $
| 3r+r-4r+4r+3r=10 | | 4x=(5/7) | | 9x+10=14×-58 | | -10=22-(2x+4) | | 3(x-5)x12=2(x-6)+3 | | 2.14–7(3x+1)=−(x+63) | | 3a-6=-(6-6a)-3a | | (5x)=45 | | 100m+10=0+15m | | 7(m-2)=294+6m | | -3(-7x+6)-9x=4(x-2)-6 | | 1x/4-4=1x/9+1 | | 0.2^x+1/2=-0.8 | | -15+19=-5-3x | | p+6=2(-7p+3) | | k/4+9=41 | | 17n-4n-3n=20 | | 2m/3=1/3(2m-12) | | x-0.23x=462.77 | | 8(y-6)=5y-36 | | 2x-3x+9=12 | | 13x=116 | | -2(1+7x)-6x=-102 | | -7/8x-3/56x+1/7x=-60 | | n = –25 | | 19z+-16z=-15 | | 5(m-2)=2m-25 | | 5-x=12x+4 | | 9x-4=5x-4=4x | | -13+6n=3+2n | | 12/v=17/13 | | -28+6x=-8(-7-6x) |