Answer:
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69
Explanation:
Step 1: Subtract 5 from both sides.
x2−7x−5=5−5
x2−7x−5=0
Step 2: Use quadratic formula with a=1, b=-7, c=-5.
x=
−b±√b2−4ac
2a
x=
−(−7)±√(−7)2−4(1)(−5)
2(1)
x=
7±√69
2
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69