Question

Solve the quadratic equation y = -16x² + 173c + 140 using the quadratic formula.

A) y = 2(8x + 5)
B) y = -16(x² - 10.8125)
C) y = -16(x² + 10.8125)
D) y = -16(x² - 10.8125c + 140)

Answer 1

To solve the given quadratic equation using the quadratic formula, one would substitute the coefficients a = -16, b = 173, and c = 140 into the formula. However, the term 173c appears to be a typo, and if it should be 173x, the formula would then be applicable. Otherwise, the problem is not correctly stated for a quadratic equation.

Step-by-step explanation:

To solve the quadratic equation y = -16x² + 173x + 140, we use the quadratic formula where a, b, and c correspond to the coefficients of the terms in the equation:

The quadratic formula is x = −b ± √(b² − 4ac) / (2a).

For the equation given:

• a = -16
• b = 173
• c = 140

Substituting these values into the quadratic formula would give us the solutions for x. However, the original question seems to include a variable 'c' in the 173c term, which could indicate a typo as it would otherwise be part of a higher degree polynomial and not solvable by the quadratic formula. We must then assume this was a mistake and the correct term should be 173x. If indeed 173c is a typo, then the original problem is not formatted correctly to directly apply the quadratic formula.