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
Oxana [17]
3 years ago
12

Solve b²-4b+4=0 using the quadratic formula PLEASE EXPLAIN HAS TEST ON FRIDAY!!

Mathematics
2 answers:
kolbaska11 [484]3 years ago
8 0

Answer:

b = 2

Step-by-step explanation by completing the square:

Solve for b over the real numbers:

b^2 - 4 b + 4 = 0

Write the left hand side as a square:

(b - 2)^2 = 0

Take the square root of both sides:

b - 2 = 0

Add 2 to both sides:

Answer:  b = 2

pickupchik [31]3 years ago
4 0

I'm going to use x in place of b. The reason why is because 'b' shows up in the quadratic formula, so there might be some confusion.

So we want to solve x^2 - 4x + 4 = 0 for x

Note how this equation is the same as 1x^2 - 4x + 4 = 0 and it is in the format ax^2 + bx + c = 0

We see that a = 1, b = -4 and c = 4

We will plug these values into the discriminant formula

d = b^2 - 4ac

d = (-4)^2 - 4(1)(4)

d = 16 - 16

d = 0

The discriminant is 0, so the square root of this is also 0. A discriminant of 0 means that there is only one real solution.

It turns out that the solution is equal to x = -b/(2*a) = -(-4)/(2*1) = 4/2 = 2

If the discriminant were nonzero, then the quadratic formula would be a bit messier.

It might be better to factor. Doing so gets you (x-2)^2 = 0 which becomes x-2 = 0 and x = 2

You might be interested in
Estimate of 137,638 and 52,091
maxonik [38]
140,000,,, 50,000 is estimated
5 0
3 years ago
Name the operation you should preform first
Colt1911 [192]
1. 4 times 6
2. 8 divided by 2
3. 4 squared 2
3 0
3 years ago
Read 2 more answers
Pls help me help me help me​
Ganezh [65]

Answer:

C. -3/2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

We know that line <em>m </em>is perpendicular to line <em>l. </em>

Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.

Negative: switch the sign

2/3 --> -2/3

Reciprocal: switch the numerator (top number) and denominator (bottom number)

-2/3 --> -3/2

Line <em>m</em> has a slope of -3/2 and C is correct.

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
Morgarella [4.7K]

Answer:

A

Step-by-step explanation:

mid point of AC=((2m+2p)/2,(2n+2r)/2)=(m+p,n+r)

4 0
3 years ago
Write an expression that represents the sum of 7and x
Lady_Fox [76]

Answer:

7 + x

Step-by-step explanation:

............................

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve: 2/3 x = 8 <br> A.4<br> B.12
    5·2 answers
  • Explain why the two equations below have the same solutions. x + 3y = −1 −2x − 6y = 2
    12·1 answer
  • 275 per 60 sec divided by 7
    6·1 answer
  • If (2)x=1 what is the value of x?
    8·2 answers
  • a bottle contains red marble and blue marbles. a marble is chosen at random and not replaced. then a second marble is chosen at
    8·1 answer
  • Pls heeelp i dont want to fail
    11·2 answers
  • Please help I am failing this class!
    12·2 answers
  • Please help me I need help
    15·1 answer
  • A type of opinion based on observation and evidence.
    7·2 answers
  • Solve x2 + 12x + 8 = 0 by completing the square. Identify all of the possible solutions.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!