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
Answer:
b. (60)
Step-by-step explanation:
n represents the number of payments. If there are 4 per year for 15 years, that's a total of 4×15 = 60 payments.
n = 60
The Answer Is 3 When You Combine Like Terms
Answer:
4 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?
<u><em>The picture of the question in the attached figure</em></u>
we know that
The <u><em>Intersecting Chord Theorem</em></u> states that: When two chords intersect each other inside a circle,the products of their segments are equal.
do
In this problem

substitute the given values

solve for x

therefore
The length of segment AY is 4 units