Question

1+8x+16x^2=0 Решите пожалуйста

Answer 1

1+8x+16x²=0
16x²+8x+1=0
D=64-16×4=0
x=-8+0/32=-0.25

Answer 2

Solving the Equation 1 + 8x + 16x^2 = 0

To solve the equation 1 + 8x + 16x^2 = 0, we can use the quadratic formula or factorization method. Let's use the quadratic formula.

The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = 16, b = 8, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-8 ± √(8^2 - 4 * 16 * 1)) / (2 * 16)

Simplifying further:

x = (-8 ± √(64 - 64)) / 32

x = (-8 ± √0) / 32

Since the discriminant (√(b^2 - 4ac)) is zero, the equation has only one real solution.

x = -8 / 32

Simplifying:

x = -1/4

Therefore, the solution to the equation 1 + 8x + 16x^2 = 0 is x = -1/4.