Question

Solve the following quadratic equations 6x²-96=0

Answer 1

To solve the quadratic equation 6x² - 96 = 0, we can use the quadratic formula. The solutions to the equation are x = √(3) and x = -√(3).

Step-by-step explanation:

To solve the quadratic equation 6x² - 96 = 0, we can use the quadratic formula. For an equation of the form ax² + bx + c = 0, the solutions or roots can be calculated using the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 6, b = 0, and c = -96. Plugging these values into the quadratic formula, we get:

x = (-0 ± √((0)² - 4(6)(-96))) / (2(6))

x = ± √(4,608) / 12

x = ± √(192) / 4

x = ± √(16 × 12) / 4

x = ± (4√(3)) / 4

x = ± √(3)

So, the solutions to the quadratic equation 6x² - 96 = 0 are x = √(3) and x = -√(3).