Question

Solve the following quadratic equation

(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17

Answer 1

To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:

Taking the square root of both sides gives us:

x - 18 = ±√1

Simplifying the square root of 1, we have:

x - 18 = ±1

Now, let's solve for x by considering both the positive and negative cases:

Case 1: x - 18 = 1

Adding 18 to both sides:

x = 1 + 18

x = 19

Case 2: x - 18 = -1

Adding 18 to both sides:

x = -1 + 18

x = 17

Leading to our final correct answer is:

A. x = 19 and x = 17

ヾ(•ω•`)o

Answer 2

the answer is A. x=19 and x=17