Question

Which of the following equations represents the greatest value of x?

4 x2 = 35
x3 = 64
x3 = 125
x2 = 38

Answer 1

Answer: Fourth option is correct.

Explanation:

Since we have given that

1) we have

`4x^2=35\\\\x^2=(35)/(4)\\\\x^2=8.75\\\\x=√(8.75)\\\\x=2.95`

2) we have

`x^3=64\\\\x=\sqrt[3]{64}\\\\ x=4`

3) We have

`x^3=125\\\\x=\sqrt[3]{125}\\\\ x=5`

4) We have

`x^2=38\\\\x=√(38)\\\\x=6.16`

So, we can say that x=6.16 is the greatest value of x.

Hence, Fourth option is correct.