150^3=(1/3)*3,14*(4^2)*h

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Solution for 150^3=(1/3)*3,14*(4^2)*h equation:



150^3=(1/3)*3.14(4^2)*h
We move all terms to the left:
150^3-((1/3)*3.14(4^2)*h)=0
Domain of the equation: 3)*3.144^2*h)!=0
h!=0/1
h!=0
h∈R
We add all the numbers together, and all the variables
-((+1/3)*3.144^2*h)+150^3=0
We add all the numbers together, and all the variables
-((+1/3)*3.144^2*h)+3375000=0
We multiply all the terms by the denominator
-((+1+3375000*3)*3.144^2*h)=0
We calculate terms in parentheses: -((+1+3375000*3)*3.144^2*h), so:
(+1+3375000*3)*3.144^2*h
We add all the numbers together, and all the variables
10125001*3.144^2*h
Wy multiply elements
30375003h^2
Back to the equation:
-(30375003h^2)
a = -30375003; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-30375003)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$h=\frac{-b}{2a}=\frac{0}{-60750006}=0$

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