For the quadratic equation (x−7)2=11

Question

(
x
−
7
)
2
=
11
, complete the table by testing each of the given values to determine whether it is a solution. Identify the two solutions to the quadratic equation.

(1 point)
The smaller of the two solutions is x=
x
=
. The larger of the two solutions is x=
x
=
.

Answer 1

To solve the equation (x-7)^2 = 11, we need to take the square root of both sides.

√((x-7)^2) = ±√(11)

x - 7 = ±√(11)

Now, we can isolate x by adding 7 to both sides:

x = 7 ± √(11)

So, the two solutions to the quadratic equation are:

x = 7 + √(11)

and

x = 7 - √(11)

There are no given values in the problem statement, so there is no table to complete.