Which option contains the solution set for the value of k in the equation 7+2k2=25 ?
{3} left brace 3 right brace ∅ empty set {−9,9} left brace negative 9 comma 9 right brace {−3,3}
The correct option is {−3,3}.
To find the solution set for the value of k in the equation 7 + 2k^2 = 25, we can follow these steps:
Step 1: Subtract 7 from both sides of the equation to isolate the quadratic term:
7 + 2k^2 - 7 = 25 - 7
2k^2 = 18
Step 2: Divide both sides of the equation by 2 to solve for k^2:
2k^2 / 2 = 18 / 2
k^2 = 9
Step 3: Take the square root of both sides of the equation to obtain the value of k:
√k^2 = √9
k = ±3
The solution set for the value of k in the equation is { -3, 3 }.
To find the solution set for the value of k in the equation 7 + 2k^2 = 25, we need to solve for k.
Step 1: Start by subtracting 7 from both sides of the equation to isolate the term with k.
7 + 2k^2 - 7 = 25 - 7
2k^2 = 18
Step 2: Divide both sides of the equation by 2 to solve for k^2.
(2k^2)/2 = 18/2
k^2 = 9
Step 3: Take the square root of both sides of the equation to solve for k.
√(k^2) = √9
k = ±3
Therefore, the solution set for the value of k in the equation is {−3, 3}.