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3 years ago

="TexFormula1" title="x {}^{2} - 2ax + 2(a {}^{2} - 6) = 0" alt="x {}^{2} - 2ax + 2(a {}^{2} - 6) = 0" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

pentagon [3]3 years ago

5 0

answer

$- {4a}^{2} + 48$

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alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

7 0

3 years ago

What is 89,381 divided by 9

Oksanka [162]

Answer:

9931.2222222

Step-by-step explanation:

Divide this by using your hand long way or a calculator.

4 0

3 years ago

Read 2 more answers

1) Q: A: Factor x2 + 8x + 16 A) (x + 4)2 B) (x - 4)2 C) (x + 8)(x + 2) D) (x + 2)(x - 8)

luda_lava [24]

Answer:

(x+4)^2 Choice A

Step-by-step explanation:

x^2 + 8x + 16

what 2 numbers multiply together to give you 16 and add together to give you 8

1*16 = 16 1+16 = 17 no

2*8 = 16 2+8 = 10 no

4*4 = 16 4+4 = 8 yes

(x+4) (x+4)

(x+4)^2

8 0

3 years ago

Solve for x. Show your work.

puteri [66]

So, these are actually pretty simple once you learn the equality used to solve for "x" and when to implement this method. You can use this equality to solve for a segment "x" anytime that two secant lines cutting through a circle come from the same point outside the circle.

Secant: by geometric definition is just a straight line that cuts a curve into multiple pieces.

I did one of them for you hopefully you can use my work for "a" to help you solve for "b". For a. I got x=7.

6 0

4 years ago

what is 3 -7 then minus 7366 then minus 0285676 then minus 0 plus 0 then minus 656282 the minus 0mc 0 what is it you are meanoes

aivan3 [116]

Answer:

-949328 ^^

Step-by-step explanation:

Here's the answer to your idi..otic question UwU, thanks for the points!!! be seeing you soon budd!!!!

4 0

3 years ago