For the quadratic equation (x−7)2=11
(
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
=
.
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.