Question

Б) 3х2 – 10 = 152
how to solve with square root​

Answer 1

`3√(6)` and
`-3√(6)`

Explanation:

We will take numbers to one side and variables to one side eliminate the "Square" with "Square Root" and solve for the variable x. The process is shown below:

`3x^2-10=152\\3x^2=152+10\\3x^2=162\\x^2=(162)/(3)\\x^2=54\\x=√(54)`

Now, we need to reduce the radical by using the rule shown below:

`√(x*y)=√(x)  √(y)`

Now,

`√(54)=√(6*9) =√(6)  √(9) =3√(6)`

The correct answer is
`3√(6)` and
`-3√(6)`

Note: squaring positive and negative makes the same answer