Step-by-step explanation:
First, subtract
30
from each side of the equation to isolate the
x
term while keeping the equation balanced:
−
30
−
19
=
−
30
+
30
−
7
x
2
−
49
=
0
−
7
x
2
−
49
=
−
7
x
2
Next, divide each side of the equation by
−
7
to solve for
x
2
while keeping the equation balanced:
−
49
−
7
=
−
7
x
2
−
7
7
=
−
7
x
2
−
7
7
=
x
2
x
2
=
7
Now, take the square root of each side of the equation to solve for
x
while keeping the equation balanced. Remember, the square root of the number yields both a positive and a negative result:
√
x
2
=
±
√
7
x
=
±
√
7
=
2.646
rounded to the nearest thousandth.
