Question

Find the point x on the parabola 16x²=x₁².

a) x= 1/4x₁
​b) x= 1/2x₁
​c) x=x₁
​d) x=4x₁

Answer 1

The correct answer to the equation 16x² = x₁² is found by taking the square root of both sides, leading to 4x = x₁ and then dividing both sides by 4, resulting in x = 1/4x₁. The correct answer is a) x= 1/4x₁.

Step-by-step explanation:

A parabola is a U-shaped curve that is defined by a specific mathematical equation and has several distinctive properties. It is a type of conic section and is characterized by its symmetry, vertex, and axis.

To find the point x on the parabola given by the equation 16x² = x₁², we need to solve for x. We do this by first taking the square root of both sides of the equation:

√(16x²) = √(x₁²)

This simplifies to 4x = x₁.

Next, to isolate x, we divide both sides by 4:

x = x₁/4

Therefore, the correct answer is:

a) x = 1/4x₁