x = –1
No Real Solutions
x = 11 and x = 1
x = 11
The solution to the quadratic equation x² - 12x + 11 = 0 is x = 11 and x = 1.
Given the quadratic equation in the question:
x² - 12x + 11 = 0
To solve the quadratic equation x² - 12x + 11 = 0 by completing the square, first the constant term to the other side of the equation:
x² - 12x + 11 = 0
x² - 12x + 11 - 11 = 0 - 11
x² - 12x = -11
Next, find the value that is equal to the square of half of b:
( b/2 )² = ( -12/2 )² = (-6)²
Add (-6)² to each side of the equation:
x² - 12x + (-6)² = -11 + (-6)²
x² - 12x + 36 = -11 + 36
x² - 12x + 36 = 25
Factor the perfect trinomial sqaure:
( x - 6 )² = 25
Solve for x:
x - 6 = ±√25
x - 6 = ±5
x = 6 ± 5
Hence, x = 6 - 5 = 1
And x = 6 + 5 = 11.
Therefore, the values of x are 1 and 11.
Learn more about quadratic equations here: brainly.com/question/1863222
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Answer:
Step-by-step explanation:
x^2 – 12x + 11 = 0
(x-11)(x-1)
x= 11, 1 completing the square
Answer:
the answer would be 56 if you have plato your welcome =)
Step-by-step explanation:
Answer:
A. 56 more
Step-by-step explanation:
856 students + 700 guest = 1,556
The custodian only set out 1,500 chairs so 56 more are needed.
Whenever you need to convert a temperature expressed in celsius degrees to fahrenheit degrees, you have to use the following formula:
So, if we plug the celsius temperature of -10, we get
–2x + 6y = 14
What is the solution to the system?
(2, 1)
(2, –3)
(2, –1)
(2, 3)
Answer:
The answer is D
(2,3)
Step-by-step explanation:
240mm