Question

Solve the following quadratic equation using the perfect square trinomial pattern: x2+x+0.25=0
.(1 point)
Responses

x=−0.5
x equals negative 0.5

x=0.5
x equals 0.5

x=−0.25
x equals negative 0.25

x=0.25

Answer 1

(x + 0.5)^2 = x^2 + x + 0.25, so (x + 0.5)^2 = 0 → x + 0.5 = 0 → x = −0.5.

Answer: x = −0.5 (double root).