Question

(×-5) second power equals 3​

Answer 1

Answer:
`x_1=6.73\\\\x_2=3.26`

Step-by-step explanation:

Given the following expression:

`(x-5)^2=3`

And knowing that:

`(a\±b)^2=a^2-2ab+b^2`

We get:

`x^2-2(x)(5)+5^2=3\\\\x^2-10x+25=3`

Move the 3 to the left side of the equation:

`x^2-10x+25-3=0\\\\x^2-10x+22=0`

Apply the Quadratic formula:

`x=(-b\±√(b^2-4ac) )/(2a)`

In this case:

`a=1\\b=-10\\c=22`

Substituting values into the Quadratic formula, we get:

`x=(-(-10)\±√((-10)^2-4(1)(22)) )/(2(1))\\\\\\x_1=6.73\\\\x_2=3.26`