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
arsen [322]
3 years ago
12

x²-2x+1 let a, b, c be positive integers such that the quadratic equation ax² - bx + c = 0 has two distinct roots in the interva

l (0,1). Find the smallest possible value of a.
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

The least value of a = 1

Step-by-step explanation:

As it has two distinct roots . According to roll's theorem there should be a point where f'(x)=0

In a quadratic equation ax² + bx + c = 0 the point of maxima or minima is

x = - b/2a

We can find by differentiating it

2ax - b= 0

x = b/2a

So   0 < b/2a < 1

0 < b/a < 2

0 < b < 2a

a > b/2

then, the least value of b = 2 and the least value of a = 1

You might be interested in
You take a True/False quiz that consists of 5 questions. What is the probability that you will get at least a B (at least 4 ques
Anna [14]

Answer:

20%

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
10-3•2/1+1 what is the answer???
Ne4ueva [31]
14/2 = 7
The answer can be either depending on it you have to reduce
3 0
3 years ago
Read 2 more answers
If y = kx, what is the value of x if y = 0.33 and k = 1/4? A) 0.08 B) 0.33 C) 0.50 D) 1.32
Vladimir79 [104]
<span>y = kx
x = y/k if y = 0.33 a</span><span>nd k = 1/4
x = 0.33/0.25
x = 1.32

answer
</span><span>D) 1.32</span>
7 0
3 years ago
Read 2 more answers
Write the standard form of the equation that is parallel to y = -6x + 5 and goes through point (4, 4).
steposvetlana [31]

6x + y = 28.  The standard form of the equation that is parallel to y = -6x + 5 and goes through point (4, 4) is 6x + y = 28.

The equation is written in the slope-intercept form y = mx +b. So:

y = -6x + 5

The slope m = -6

Since the slopes of parallel lines are the same, we are looking for a slope line m = -6 and goes through point (4, 4).

With the slope-intercept form:

y = mx + b

Introducing the slope m = -6:

y = -6x + b

Introducing the point (4, 4):

4 = -6(4) + b

b = 4 + 6(4)

b= 24 + 4

b = 28

Then

y = -6x + 28

write the equation in standard form ax + by = c:

y = -6x + 28

6x + y = 28

8 0
4 years ago
A solution has a pH of 2.4. What happens to the solution if the hydronium ion concentration is increased? The pH decreases. The
natali 33 [55]

Addition of a hydronium ion increases its concentration and the solution becomes more acidic, Therefore the pH decreases.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the correct net of the prism and what is the surface area of the prism?
    12·1 answer
  • Can I please have help?
    11·2 answers
  • Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula, OP = _____ a
    15·1 answer
  • Find a using sin cos or tan<br> Ex: a/sina=b/sinb
    12·1 answer
  • 1,383,098 in word form
    5·2 answers
  • State if the triangle is a right triangle. (Remember that the largest value is always c)
    7·1 answer
  • Please tell me !!!!!!
    5·1 answer
  • Sara uses 4/6 spoon of milk and 3/2 of sugar to make tea. How much more milk did se use?
    10·1 answer
  • What is the arc length of a semicircle with a radius of 14?
    12·1 answer
  • Ola wishes to make a deposit. she has these bills: 9 ones, 3 fives, 2 tens, and 4 twenties. she has 32 nickels, 4 dimes, and 10
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!