Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 12x + 36 = 90
Rearranging it in line with the standard form of ax² + bx + c, it becomes
x² - 12x + 36 - 90 = 0
x² - 12x - 54 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 12
c = - 54
Therefore,
x = [- 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1
x = [- 12 ± √(144 - - 216)]/2
x = [- 12 ± √360]/2
x = (- 12 + 18.97)/2 or x = (- 12 - 18.97)/2
x = 3.485 or x = - 15.485
Answer:
well I didn't understand the question
Step-by-step explanation:
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<h2><u>Answer:</u></h2>
The Volume of a cylinder is calculated by the following formula (equation 1):
(1)
Where
is the radius of the circle that is the base of the cylinder and
the height.
If we divide equation (1) by
we obtain the area of the circle, as shown in equation (2):
(2)
Now, we know the volume of the cylinder in this problem is expressed as:
(3)
And its height as:
(4)
Knowing this, let’s find the area of the base (area of a circle):
![\frac{5x^{2}+15x+2}{5x}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%5E%7B2%7D%2B15x%2B2%7D%7B5x%7D)
If we divide each term by the common denominator we have:
![\frac{5x^{2}}{5x}+\frac{15x}{5x}+\frac{2}{5x}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%5E%7B2%7D%7D%7B5x%7D%2B%5Cfrac%7B15x%7D%7B5x%7D%2B%5Cfrac%7B2%7D%7B5x%7D)
Simplifying we finally have:
>>>>> This is the expression of the area of the base
Answer:
Step-by-step explanation:
4x=-1
divide by 4 to get x by itself
x= -1/4