Question

The vertex form of 22 - 8x + 10 = 0 is equal to (x + 2)² - 6 = 0.
A) True.
B) False.

Answer 1

By comparing the given equation with the standard quadratic form and using the quadratic formula, we find two solutions for x.

Step-by-step explanation:

The given equation is x² + 0.0211x - 0.0211 = 0.

By comparing it with the standard quadratic equation ax² + bx + c = 0, we can see that a = 1, b = 0.0211, and c = -0.0211.

Now we can use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac))/(2a)

Substituting the values, we get:

x = (-0.0211 ± √(0.0211² - 4(1)(-0.0211)))/(2(1))

x = (-0.0211 ± √(0.00044421 + 0.0844))/2

x = (-0.0211 ± √0.08484421)/2

x = (-0.0211 ± 0.2917)/2

x = -0.1564 or x = 0.1353

Therefore, the equation has two solutions.

A) True.