2 years ago

The quadratic equation y=2x^2-px+6 has equal roots. Find the possible values of p.

1 answer:

5 0

$\Delta=0\\
\Delta=(-p)^2-4\cdot2\cdot6=p^2-48\\
p^2-48=0\\
p^2=48\\
p=\sqrt{48} \vee p=-\sqrt{48}\\
p=4\sqrt3 \vee p=-4\sqrt3
$

You might be interested in

A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched

Bad White [126]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta = 80\\
r=26
\end{cases}\implies s=\cfrac{80\cdot \pi \cdot 26}{180}$

8 0

2 years ago

A farmer's land is separated into sections of size 2 1/5 acres. Suppose there are 2 2/9 such sections. How many acres of land do

Margarita [4]

Answer:

$\frac{44}{29}$

Step-by-step explanation:

The computation of the number of acres of land does the farmer owns is as follows:

Given that

the land of the farmer would be separated into size of $2 \frac{1}{5}$ acres

And, the sections would be $2 \frac{2}{9}$

So,

The number of acres would be

$= 2 \frac{1}{5} + 2 \frac{2}{9}\\\\= \frac{11}{5} + \frac{20}{29}$

Now just multiply the denominator and numerator straight across

$= \frac{11 \times 20 }{5 \times 29} \\\\= \frac{220}{145} \\\\= \frac{44}{29}$

7 0

2 years ago

Whats the prime factorliztion of 180 in exponential form

stira [4]

180
3*60 
3*3*20 
3*3*4*5 
3*3*2*5 

which simplifies to 2^2*3^2*5

I hope I helped!

8 0

2 years ago

Read 2 more answers

Can someone please answer. There is one problem. There's a picture. Thank you!

lidiya [134]

The second choice is the correct one.

3 0

2 years ago

Read 2 more answers

Find the value for x in the rectangular prism. Use exact values.

Svetlanka [38]

Answer:

x = 2 $\sqrt{66}$

Step-by-step explanation:

x = $\sqrt{2^2+8^2+14^2}$

= $\sqrt{4+64+196}$

= $\sqrt{264}$

= 2 $\sqrt{66}$

8 0

2 years ago