Question

Solve the following quadratic equation using the perfect square trinomial pattern: 64x2−80x+25=0
64
𝑥
2
−
80
𝑥
+
25
=
0
.(1 point)
Responses

x=−25
𝑥
=
−
25

x equals negative 25

x=0.625
𝑥
=
0.625

x equals 0.625

x=−0.625
𝑥
=
−
0.625

x equals negative 0.625

x=25

Answer 1

64x^2 − 80x + 25 = (8x − 5)^2 = 0, so 8x − 5 = 0 ⇒ x = 5/8 = 0.625.

Answer: x = 0.625.