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
stiks02 [169]
2 years ago
8

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring:

Mathematics
2 answers:
Charra [1.4K]2 years ago
7 0

Answer:

Part A - Option B - b^2-4ac

Part B - b^2-4ac=25

Step-by-step explanation:

Part A : Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

The formula which tells the quadratic equation can be solve by factoring is called a discriminant.

Discriminant of the quadratic equation is D=b^2-4ac

So, Option B is correct.

Part B : Use the part of the quadratic formula that you chose above and find its value given the following quadratic equation:  

2x^2 + 7x + 3 = 0

The solution of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm \sqrt{D}}{2a}

On comparing with 2x^2 + 7x + 3 = 0

a=2 ,b=7 ,c=3

D=b^2-4ac

D=7^{2}-4(2)(3)}

D=49-24

D=25>0

So, there exist distinct real roots.

Substitute in the formula,

x=\frac{-7\pm\sqrt{25}}{4}

x=\frac{-7\pm 5}{4}

x=\frac{-7+5}{4},\frac{-7-5}{4}

x=\frac{-2}{4},\frac{-12}{4}

x=-\frac{1}{2},-3

andre [41]2 years ago
4 0
The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots. 
In the equation <span>2x^2 + 7x + 3, 
we use the quadratic formula 
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
You might be interested in
What could x be substituted for x 6x + -4 = 2x + 8
Rzqust [24]
6x-4=2x+8
mnus 2x both sides
4x-4=8
add 4 to both sides
4x=12
divide 4 both sides
x=3
6 0
3 years ago
Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equa
lawyer [7]
The answer is a \large y=3x
5 0
3 years ago
The volume of a cube is 441cm3.<br> Work out the length of its side rounded to 1 DP.
Rainbow [258]

Answer:

volume of cube=441cm³

l³=441cm³

l=

\sqrt[3]{441}

length=7.6cm

3 0
3 years ago
Help with this answer plsssssss
Masteriza [31]

Answer:

168

Step-by-step explanatio16n:

V = lw ·h/3

8 0
3 years ago
Read 2 more answers
P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is 37 . (The inhabitants of th
AfilCa [17]

Answer:

  8,275,842 digits

Step-by-step explanation:

One more than the floor of the logarithm to the base 37 gives the number of digits. The change of base formula can be used.

  \log_{37}{(2^{43112609}-1)}\approx\dfrac{43112609\log{2}}{\log{37}}\approx 8275841.2

Expressed in the base-37 number system, P has 8275842 digits.

6 0
3 years ago
Other questions:
  • What is the distance between points (-42, 63) and (-39, 67)?
    13·2 answers
  • M-8=33 can you plz help me do this ​
    7·2 answers
  • Eight minus the product of two and a number x.
    11·1 answer
  • Please help me answer. I have attached the question
    6·1 answer
  • What is the lateral surface area of a square pyramid with a side length 11.2 cm and a slant height 20 cm
    9·2 answers
  • Can someone plz plz plz answer my question?Show your work or explain.I will give a thank u with 5 stars and Brainliest.
    10·1 answer
  • Calcular el área de un hexágono regular si su lado mide 8 √3cm
    7·1 answer
  • Help someone pls ASAP
    6·2 answers
  • Which equation represents a population of 490 animals that increases at an annual rate of 20% ?
    11·1 answer
  • A frustum is made by removing a small cone from
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!