Question

H(t)=t² + 4t + 3

What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller x=___
larger x= ____

Answer 1

The zeros of the function H(t) = t² + 10t - 2000 are found using the quadratic formula resulting in two solutions, t = 3.96 and t = -1.03. The smaller t is -1.03 and the larger is 3.96.

Step-by-step explanation:

To find the zeros of the function H(t) = t² + 10t - 2000, we can use the quadratic formula: t = (-b ± √b² - 4ac) / (2a). In this case, a = 1, b = 10, and c = -2000. Applying the quadratic formula, we get two solutions for t, which represent the zeros of the function.

The formula gives us:

t = (-10 + √(10² - 4 × 1 × (-2000))) / (2 × 1)

t = (-10 - √(10² - 4 × 1 × (-2000))) / (2 × 1)

The solutions are t = 3.96 and t = -1.03. The student should verify these solutions by plugging the values back into the original equation to check that they satisfy the equation.