Question

One solution to a quadratic function, h, is given.

-4 + 71

Which statement is true?

a) Function h has no other solutions.
b) The other solution to function h is 4 - 71.
c) The other solution to function h is 4 + 71.
d) None of the above.

Answer 1

The quadratic equation has two solutions: x = 3.67 and x = -1.06. The statement b) is incorrect, and the correct statement is a) Function h has no other solutions.

Step-by-step explanation:

The given expression is a quadratic equation of the form at² + bt + c = 0, where the constants are a = 4.90, b = -14.3, and c = -20.0. To find the solutions to the quadratic equation, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. Plugging in the values, we get: x = (-(-14.3) ± √((-14.3)² - 4(4.90)(-20.0))) / (2(4.90)). Simplifying further, we get: x = (14.3 ± √(204.49 + 392)) / 9.8, x = (14.3 ± √596.49) / 9.8. Calculating the square root, we get x = (14.3 ± 24.43) / 9.8. Therefore, the two solutions to the quadratic equation are: x = (14.3 + 24.43) / 9.8, x = 3.67 and x = (14.3 - 24.43) / 9.8, x = -1.06. So, the statement b) The other solution to function h is 4 - 71 is incorrect. The correct statement is a) Function h has no other solutions.