Question

(x-5^2)-7=93

Solve using square roots

I’m just unsure whether the answer will be x=-5+- 10 or x=5+-10

Answer 1

Explanation:

steps are stated below

step 1

(x-5^2)-7=93 equation

step 2

x-5^2-7=93 remove brackets

step 3

x-5^2-7=93 simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93 combine the tems

x+(-32)=93

step 5

x+(-32)=93 change the symbols

x-32=93

step 6

x-32(+32)=93(+32) add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer 2

x=15, x=-5

Explanation:

Solve:

`(x-5)^2-7=93`

Adding 7:

`(x-5)^2=93+7`

`(x-5)^2=100`

Taking square roots:

`x-5=√(100)`

Recall a square root has two possible answers:

`x-5=\pm 10`

Adding 5:

`x=5\pm 10`

There are two answers:

`x=5+ 10=15`

`x=5- 10=-5`

Answers: x=15, x=-5