Answer:
![\{x=\frac{19-\sqrt{409} }{2}\ , \ x=\frac{19+\sqrt{409} }{2}\}](https://tex.z-dn.net/?f=%5C%7Bx%3D%5Cfrac%7B19-%5Csqrt%7B409%7D%20%7D%7B2%7D%5C%20%2C%20%5C%20%20x%3D%5Cfrac%7B19%2B%5Csqrt%7B409%7D%20%7D%7B2%7D%5C%7D)
Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.
![x=\frac{19-\sqrt{409} }{2} \ \ or\ \ x=\frac{19+\sqrt{409} }{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B19-%5Csqrt%7B409%7D%20%7D%7B2%7D%20%5C%20%5C%20or%5C%20%5C%20x%3D%5Cfrac%7B19%2B%5Csqrt%7B409%7D%20%7D%7B2%7D)
Answer:
-2x + 3 – (5 – 6x) = 4x - 2
Step-by-step explanation:
The given expression is :
-2x + 3 – (5 – 6x)
We need to simplify the above expression. First opening the brackets.
-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x
Taking like terms together,
= -2x+6x + 3 -5
= 4x - 2
So, the simplified expression is 4x - 2.
The required proportion of the blue paint is 18 liters.
Given that,
The ratio of yellow and blue colors is 2:3
The proportion of the yellow color is 12 liters.
The proportion of blue color is to be determined.
<h3>What is the Ratio?</h3>
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Let the proportion of the blue color is x,
Now, the ratio can be given as
12 / x = 2 / 3
x = 12 * 3 / 2
x = 18
Thus, the required proportion of the blue paint is 18 liters.
Learn more about Ratio here:
brainly.com/question/13419413
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The question given is incomplete, a proper question could be
A paint store mixes yellow and blue paint in a ratio of 2:3 to make green paint. If they used 12 liters of yellow paint, how many liters of blue paint were used?
Any multipule of 5 ends with either a 0 or a 5
so we see that ther are no 0's in the list so it must end with 5
so the other 2 digits can be any number
wait, less than 600
so the first digit can be 1 or 3
some possible numbers are
135
175
195
315
375
395
those are the possible numbers
Answer:
6+3x
Step-by-step explanation:
multiply each term in the parentheses by the outer term.