Given:
The given equation is
To find:
All the real solutions.
Solution:
We have,
It can be written as
Using zero product property, we get
and
and
and
We know that is an imaginary number because there is a negative sign under the square root.
Therefore, is the only real solution of the given equation.
Answer: 15 inches is the height of Keisha's fish tank.
Step-by-step explanation: Basically, multiply your length x width, which is 12 x 10. 12 x 10 = 120.
Next, divide 1800 by 120.
1800 divided by 120 is 15.
So, 15 inches is the height of the fish tank.
Answer:I think it is 12/25
Step-by-step explanation:
Answer:
See explanation below to use the vertex form to solve a quadratic equation.
Step-by-step explanation:
(x - h)^2 - k = 0, the vertex is (h, -k)
An example below, taking a quadratic equation and completing the square:
x^2 - 2x - 1 = 0
x^2 - 2x = 1
(-2/-2)^2 = 1, add 1 to both sides of the equation.
x^2 - 2x + 1 = 1 + 1
(x - 1)^2 = 2
(x - 1)^2 - 2 = 0
The vertex is (1, -2)