Question

8.6 solve radical equations (homework)
score: 2/16 answered: 2/16
question 3
find all real solutions:
$sqrt{4 - 7a}=3$
$a =$. (if no solution exists, enter dne)

Explanation:

Step1: Square both sides

$(\sqrt{4 - 7a})^2=3^2$
$4 - 7a = 9$

Step2: Isolate the variable term

Subtract 4 from both sides:
$4-7a - 4=9 - 4$
$-7a=5$

Step3: Solve for a

Divide both sides by - 7:
$a=\frac{5}{-7}=-\frac{5}{7}$

Answer:

$-\frac{5}{7}$