1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
2 years ago
14

Find the values of P for which the quadratic equation 4x²+px+3=0?​

Mathematics
1 answer:
klasskru [66]2 years ago
7 0
<h3><u>Correct Questions :- </u></h3>

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

<h3><u>Solution</u>:- </h3>

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

  • D = 0

\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}}

So,

\sf{  β² - 4αc = 0}

Here,

  • α = 4
  • β = p
  • c = 3

Now,

\begin{gathered}\implies\quad \sf  p²- 4 \times 4 \times 3 =0 \end{gathered}

\begin{gathered}\implies\quad \sf  p²- 48 =0 \end{gathered}

\begin{gathered}\implies\quad \sf  p²=48\end{gathered}

\begin{gathered}\implies\quad \sf  p=±\sqrt{48}\end{gathered}

\begin{gathered}\implies\quad \sf  p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}

\begin{gathered}\implies\quad \sf  p=± 2\times 2\sqrt{ 3 }\end{gathered}

\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered}

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

You might be interested in
Is this correct??????
lana66690 [7]

Answer:

A IS THE ANSWER

I HOPE IT IS HELPFUL

7 0
3 years ago
Read 2 more answers
Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that parti
Thepotemich [5.8K]

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

5 0
3 years ago
A square with side lengths of 3x + 3. An equilateral triangle with side lengths of 5 x + 0.5. The perimeters of the square and t
aleksklad [387]

Answer:

1) 4(3x+3)=3(5x+0.5)

2) 3.5

3) 54 units

4 0
3 years ago
Read 2 more answers
Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.
Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

P=1-(1-p)^{n}

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177

8 0
3 years ago
Jovita Alvarez obtained a personal loan of $3000 at 14% for 24 months. The monthly payment is $144 the balance of the loan after
xxTIMURxx [149]
Ooo this is hard, I got a little confused
4 0
3 years ago
Other questions:
  • How many grams are in 0.1 liter
    15·2 answers
  • EXPLAIN HOW YOU WRITE PRODUCTS WHEN THEY ARE NOT ENOUGH DIGITS IN THE PRODUCT TO PLACE THE DECIMAL POINT?
    9·2 answers
  • the floor plan of a house is drawn using a scale of in = 8ft. What is the length of the basement if it is 2.5 inches long on the
    5·1 answer
  • What is 3/5 of 40????????????
    10·1 answer
  • A saleswoman is paid $10 per hour and $6 for each sale she makes. She wants to earn
    11·1 answer
  • Nancy bought a mobile phone marked at 720$ at a discount of 20 percent and she had to pay 5 percent tax. If Nancy had to put 20
    15·1 answer
  • What is x? 60 or 100
    15·2 answers
  • If the area of the rug in this den 80 square feet and the width of the carpet is 8’,what is the perimeter of the rug?
    6·1 answer
  • 3 + 5x = 5(x + 2) -7
    10·1 answer
  • Pls help!! What is the equation for the line in slope-intercept form​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!