There are two <em>real</em> roots for the <em>quadratic</em> equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.
<h3>How to find the roots of a polynomial by completing the square</h3>
In this question we must apply algebraic handling to simplify a <em>quadratic</em> equation and find the roots that satisfy the expression. Completing the square consists in transforming part of the equation into a <em>perfect square</em> trinomial, and then we clear for x:
x² - 8 · x + 13 = 0
x² - 8 · x + 16 = 3
(x - 4)² = 3
x - 4 = ± √2
x = 4 ± √2
There are two <em>real</em> roots for the <em>quadratic</em> equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.
To learn more on quadratic equations: brainly.com/question/2263981
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THAT SHOULD BE THE ANSWER
Ambitious
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This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first digit you can choose from the numbers 0,1,2...,9 or 10 choices.
Now the next 5 digits will all be letters all being different.. recall there are 26 letters in the alphabet.. for our second digit we have 26 choices, for our third digit we have 25 choices(because we already used one of the 26 letters and we can't repeat), for our fourth digit we have 24 choices.... and well I'm sure you are catching on by now...
Here is what the whole calculation looks like:
10(26)(25)(24)(23)(22) = 78,936,000
Step-by-step explanation:
The expression x + 7 will determine how many cats Staci has.
Since Staci has 7 <u>more</u> cats than Taylor (x), we know the expression uses addition.
What model is he building
