Solve the following quadratic equation using the perfect square trinomial pattern: x2 + x+ 0.25 = 0.
• x= 0.25
• x= -0.25
• x= -0.5
• x = 0.5
To solve the quadratic equation x^2 + x + 0.25 = 0 using the perfect square trinomial pattern, we need to rewrite the equation in the form (x + a)^2 = 0.
Comparing the given equation with the pattern, we can see that a = 0.5.
(x + 0.5)^2 = 0
Taking the square root of both sides:
x + 0.5 = 0
Solving for x:
x = -0.5
Therefore, the solution to the quadratic equation x^2 + x + 0.25 = 0 using the perfect square trinomial pattern is x = -0.5.