Question

The sum of the square of a number and 34

Answer 1

The solutions to the quadratic equation are approximately x = 3.59 and x = -1.06.

Step-by-step explanation:

This 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. Its solutions are given by the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values, we have:

x = (-(-14.3) ± √((-14.3)² - 4(4.90)(-20.0))) / (2(4.90))

x = (14.3 ± √(204.49 + 392)) / 9.80

x = (14.3 ± √596.49) / 9.80

x = (14.3 ± 24.42) / 9.80

Therefore, the solutions to the quadratic equation are approximately:

x = (14.3 + 24.42) / 9.80 ≈ 3.59

x = (14.3 - 24.42) / 9.80 ≈ -1.06

Answer 2

Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:


`n^(2) +34`

Hope that helped! =)