To solve the quadratic equation using square roots, we first need to isolate the variable x.
Starting with the given equation:
(x+6)^2/2 = 8
We can begin by multiplying both sides of the equation by 2:
(x+6)^2 = 16
Next, we take the square root of both sides of the equation to eliminate the squared term:
sqrt((x+6)^2) = sqrt(16)
(x+6) = ±4
Now, we can solve for x by considering both the positive and negative values of ±4:
For x+6 = 4, we subtract 6 from both sides of the equation:
x = 4 - 6 = -2
For x+6 = -4, we subtract 6 from both sides of the equation:
x = -4 - 6 = -10
Therefore, the solutions to the quadratic equation are x = -2 and x = -10.
Solve the following quadratic equation using square roots: (x+6)^2/2=8 .
{10,−22} left brace 10 comma negative 22 right brace {−1.17,−6.83} left brace negative 1.17 comma negative 6.83 right brace {−0.34,−11.66} left brace negative 0.34 comma negative 11.66 right brace {−2,−10} left brace negative 2 comma negative 10 right brace
1 answer