Plz plz plz help me no links but PLZ ANYTHING

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

5 0

Answer:

Yesterday a lady on the subway asked me what my favorite subject was. I said math and she looked at me weird.So I was trying to think of a way to properly explain it to her. I wanted to provide her with so many details. So since I work at a company of calculaters I used how the manager makes them as an example. She was surprised with all the details I game her and told me that my manager needs to give me a promotion...I agree with her.

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2 years ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$