How many roots does x 4 16 have?

How many roots does x 4 16 have?

Algebra Examples The complete solution is the result of both the positive and negative portions of the solution. Simplify the right side of the equation. Rewrite 16 16 as 24 2 4 .

What are the roots of equation x 2 4x 16 0?

The solutions to the equation x2 + 4x – 16 = 0 are x = -2 ± 2√(5).

What are the roots of the equation x4 1 0?

1,−1,ω,ω2.

How do you factor x4 16?

Thus x^4 – 16 = (x^2 – 4)(x^2 + 4). The (x^2–4) can be further factored into (x-2)(x+2). Thus we can factor x^4 – 16 into (x-2)(x+2)(x^2 + 4).

How many real roots and how many complex roots would you expect the equation x 4 16 0 to have?

The equation has no real solutions. It has 4 imaginary, or complex solutions.

What are the roots of the equation *?

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

What is the 4th root of 16?

Fourth Roots Fourth root of 1 is ±1 Fourth root of 16 is ±2 Fourth root of 81 is ±3 Fourth root of 256 is ±4 Fourth root of 625 is ±5 Fourth root of 1296 is ±6 Fourth root of 2401 is ±7 Fourth root of 4096 is ±8 Fourth root of 6561 is ±9 Fourth root of 10000 is ±10

What is the fourth root of every number?

Fourth Roots. Fourth root of 1 is ±1. Fourth root of 16 is ±2. Fourth root of 81 is ±3. Fourth root of 256 is ±4. Fourth root of 625 is ±5. Fourth root of 1296 is ±6. Fourth root of 2401 is ±7. Fourth root of 4096 is ±8.

What is the fourth root of 4096 and 10000?

Fourth root of 4096 is ±8 Fourth root of 6561 is ±9 Fourth root of 10000 is ±10

What is the 4th root of 81?

Fourth Roots Fourth root of 1 is ±1 Fourth root of 16 is ±2 Fourth root of 81 is ±3