Solve 0 = 5x2 - 1.5x - 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation? - 0.5 and 0.2 - 0.2 and 0.5 - 0.5 and 0.5 - 0.2 and - 0.5

Question

Mathematics

Aaron

24 May, 07:27

Solve 0 = 5x2 - 1.5x - 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation? - 0.5 and 0.2 - 0.2 and 0.5 - 0.5 and 0.5 - 0.2 and - 0.5

+2

Answers (1)

Know the Answer?

Taniya Stevens · Answer 1

I believe the correct answer would be the second option. The solutions to the equation 0 = 5x2 - 1.5x - 0.5 are - 0.2 and 0.5. There are a number of ways to solve this manually or without the aid of a calculator. One way is using the quadratic formula. We do as follows:

x = - b + √ (b² - 4ac) / 2a

x = - (-1.5) + √ ((-1.5) ² - 4 (5) (-0.5)) / 2 (5) = 0.5

x = - b - √ (b² - 4ac) / 2a

x = - (-1.5) - √ ((-1.5) ² - 4 (5) (-0.5)) / 2 (5) = - 0.2