What is the value of x in the equation x−−√=±19?(1 point)
Responses
x=361−−−√
x equals Start Root 361 End Root
x=−361
x equals negative 361
x=361
x equals 361
x=±19−−−−√
x equals Start Root plus or minus 19 End Root
The value of x in the equation x−−√=±19 is x=361 or x=-19.
To find the value of x in the equation x - √ = ±19, we can solve for x by taking the square root of both sides of the equation.
Starting with the equation x - √ = ±19, let's solve it step by step:
1. Add √ to both sides of the equation:
x = ±19 + √
2. Simplify the right-hand side of the equation:
x = ± √(19 + √)
3. Now, we have two possible solutions for x:
a) x = √(19 + √)
b) x = -√(19 + √)
Therefore, the correct response would be:
x = √(19 + √) or x = -√(19 + √)
To find the value of x in the equation x−−√=±19, we can solve for x step-by-step:
Step 1: Square both sides of the equation to eliminate the square root:
(x−−√)² = (±19)²
(x−−√)² = 19²
Step 2: Simplify the equation:
x−−√ = 361
Step 3: Solve for x by taking the square of both sides:
x = 361
So, the value of x in the equation x−−√=±19 is x = 361.