Question

3z( в квадрате)-75=0плиз

Answer 1

Думаю всё понятно ))

Answer 2

3z²-75≈0
3z²=75
z²=25
z₁=5
z₂=-5
Ответ:z₁=-5,z₂=5.

Answer 3

To solve the quadratic equation 3z^2 - 75 = 0, we need to find the value(s) of z that satisfy the equation. We can do this by factoring or by using the quadratic formula.

Let's first try to factor the equation:

3z^2 - 75 = 0

Step 1: Factor out the common factor (3): 3(z^2 - 25) = 0

Step 2: Recognize that (z^2 - 25) is a difference of squares, which can be further factored: 3(z - 5)(z + 5) = 0

Now, we have a product of three factors that equal zero. According to the zero-product property, one or more of the factors must be equal to zero for the entire equation to be true. So we have two possible solutions:

1. z - 5 = 0
2. z + 5 = 0

Solving each equation for z:

1. z - 5 = 0 z = 5

2. z + 5 = 0 z = -5

Therefore, the solutions to the quadratic equation 3z^2 - 75 = 0 are z = 5 and z = -5.