Solve the following quadratic equation using the perfect square trinomial pattern: 22

Question

+ * + 0.25 = 0. (1 point)
О x = 0.25
O х = 0.5
О х = -0.25
О х = - 0.5

Answer 1

In order to solve the quadratic equation using the perfect square trinomial pattern, we need to rewrite the equation in the form of (a + b)^2 = 0.

Given the equation: x^2 + *x + 0.25 = 0

We can see that the first and third terms (x^2 and 0.25) are perfect squares: (x^2 = (x)^2 and 0.25 = (0.5)^2)

So, we can rewrite the equation as: (x + 0.5)^2 = 0

Now using the zero product property, we can set each factor equal to zero:

x + 0.5 = 0

Solving for x, we subtract 0.5 from both sides:

x = -0.5

Therefore, the solution to the quadratic equation is: x = -0.5.