Answer:
19.1 feet
Step-by-step explanation:
Length of the ladder = 20 feet
Distance from the ladder to the wall = 6 feet
Height of the ladder on the wall = x
x² + 6² = 20²
x² = 20² - 6²
x² = 364
x = 19.1 feet (Rounded to nearest tenth)
Answer: x = the quantity of 5 plus or minus the square root of 29 all over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 5x - 1 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the given quadratic equation,
a = 1
b = - 5
c = - 1
Therefore,
x = [- - 5 ± √(- 5² - 4 × 1 × - 1)]/2 × 1
x = [5 ± √(25- - 4)]/2
x = [5 ± √29]/ 2
x = ( 5 + √29)/- 2 or x = (5 - √29)/2
I’m assuming you mean the whole number 5.
5/1 is an improper fraction of 5. You can also use 10/2 or 15/3.
Answer: Second option.
Step-by-step explanation:
By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:

Therefore, the function given is Quadratic. This is:

The steps to find the roots (or the x-intercepts) of the function, are:
1. You must substitute
:

2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:

Therefore, you will get a "Double root".
4. So the solution is:
