Respuesta :
Let x =4, so when you plug it in, you get: 4^3 = 64
and
Let x =5, so when you plug it in, you get 5^3=125
95 is in between 64 and 125, so an estimate of what x could be if x^3=95 would be around 4.5.
Hope this helped!(:
and
Let x =5, so when you plug it in, you get 5^3=125
95 is in between 64 and 125, so an estimate of what x could be if x^3=95 would be around 4.5.
Hope this helped!(:
Answer:
The solution of the equation is 4.55.
Step-by-step explanation:
Given : Equation [tex]x^3=95[/tex]
To find : Whats is good estimate for the solution to the equation? How did you come up with your estimate ?
Solution :
Equation [tex]x^3=95[/tex]
Taking cube both side,
[tex]x=\sqrt[3]{95}[/tex]
As 95 is not a perfect cube so we have to find two consecutive perfect cube that 95 is between.
i.e. [tex]4^3=64\ , \ 5^3=125[/tex]
So, [tex]\sqrt[3]{64}<\sqrt[3]{95}< \sqrt[3]{125}[/tex]
or [tex]4<\sqrt[3]{95}<5[/tex]
Cube root of 95 lies between 4 and 5.
To find a better estimate, first choose number between 4 and 5 and cube them.
[tex]4.5^3=91.125\\4.55^3=94.20\\4.6^3=97.336[/tex]
A good estimate for [tex]\sqrt[3]{95}=4.55[/tex]
Therefore, The solution of the equation is 4.55.
