Question

What are the complex solutions for p^2+35=10p 2 + 35 = 10?

Answer 1

The quadratic equation p^2 + 35 = 10p has two complex solutions.

Step-by-step explanation:

To find the complex solutions for the equation p^2 + 35 = 10p, we can first rewrite it as p^2 - 10p + 35 = 0.

This is a quadratic equation in the form ax^2 + bx + c = 0, where a = 1, b = -10, and c = 35.

To solve the quadratic equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values, we get:

p = (10 ± √((-10)^2 - 4(1)(35))) / (2(1))

Now calculating, we have:

p = (10 ± √(100 - 140)) / 2

p = (10 ± √(-40)) / 2

Since taking the square root of a negative number results in a complex solution, the quadratic equation has two complex solutions.