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GaryK [48]
4 years ago
9

PLEASE HELP

Mathematics
2 answers:
Diano4ka-milaya [45]4 years ago
8 0
x= -9, 9


you have to subtract 15
then u will get x^2= 81
square root on both sides

And u get 9
Katarina [22]4 years ago
5 0

Answer:

Step-by-step explanation:

15 + c² = 96

c²  = 96 - 15

c²  = 81

c²  = 9²

c = 9

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If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?
lys-0071 [83]

Answer:

2

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

3x^2-(3k-2)x-(k-6) \text{ with }k=2:

3x^2-(3\cdot 2-2)x-(2-6)

3x^2-4x+4

I'm going to solve 3x^2-4x+4=0 for x using the quadratic formula:

\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}

\frac{4\pm \sqrt{16-16(3)}}{6}

\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}

\frac{4\pm 4\sqrt{-2}}{6}

\frac{2\pm 2\sqrt{-2}}{3}

\frac{2\pm 2i\sqrt{2}}{3}

Let's see if uv=u+v holds.

uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}

Keep in mind you are multiplying conjugates:

uv=\frac{1}{9}(4-4i^2(2))

uv=\frac{1}{9}(4+4(2))

uv=\frac{12}{9}=\frac{4}{3}

Let's see what u+v is now:

u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}

u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}

We have confirmed uv=u+v for k=2.

4 0
3 years ago
The trail of boeing is 63 2/3 feet how many inches tall is the trail
NemiM [27]
We know that

<span>63 2/3 feet----------------> (63*3+2)/3---------> 191/3  ft
</span>
1 ft-----------------> 12 in
191/3 ft----------------> X in
X=(191/3)*12------------> X=764 in

the answer is 764 in
5 0
3 years ago
(60)x = 1, what are the possible values of x? Explain your answer.
Gnesinka [82]

Answer:

\frac{1}{60}

Step-by-step explanation:

Problem:

 The possible values of x in the equation (60)x = 1;

Solution:

Such a problem like this in which the highest power of the unknown is 1 will have just one solution.

       60x  = 1

To solve this, we take the multiplicative inverse of 60;

   the multiplicative inverse of 60 = \frac{1}{60}

   Use this inverse to multiply both sides of the expression;

         \frac{1}{60} x  60x  = 1 x \frac{1}{60}

                   x  = \frac{1}{60}

7 0
3 years ago
Draw segment EF so that is bisects RS. Mark their intersection appoint A
Neko [114]

Step-by-step explanation:

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

Hope this helped.

4 0
3 years ago
Factor completely 4n^2-28n+49
svetlana [45]

Answer:

Then it would be 4n squared + 21

Step-by-step explanation:

6 0
3 years ago
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