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
VashaNatasha [74]
2 years ago
9

Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

–1 1 = 4(x2 2x 1) 0 = 4(x 2)2 0 = (x 2)2 0 = x 2 –2 = x What error did Penelope make in her work? Penelope should have subtracted 1 from both sides instead of adding 1. Penelope should have subtracted 4 from both sides instead of adding 1. Penelope should have added 4 to both sides instead of adding 1. Penelope should have subtracted 8 from both sides instead of adding 1.
Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

You might be interested in
A sum of money is shared among three friends, Jenny, kenny and roy in the ratio 3:5:7 respectively . Kenny share was $750. Deter
Nesterboy [21]

Answer:

c

Step-by-step explanation:

smarts

8 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0,2).<br> y =
telo118 [61]

Answer:

y =( -1/2 )x + 2

Step-by-step explanation:

first step is to determine the slope of the line ( which is the rise over the run) or symbolically slope is defined as m= ∆x / ∆y, so plugging those values we get...

m= ∆x / ∆y = (-1 - 0) / (4 - 2) = -1 / 2

so next is to find the zero( y-intercept) of the function by ....

y = mx + b

y = ( -1/2)x + b (since m is equal to -1/2)

2 = ( -1/2)0 + b

2= b

3 0
2 years ago
The sentence 3+(5+2)=(5+2)+3 illustrates
valentina_108 [34]
C is the answer over all
4 0
3 years ago
Absolute value of −4.5
ddd [48]

Answer:

<h2>|-4.5| = 4.5</h2>

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

therefore

|-4.5| = -(-4.5) = 4.5

4 0
3 years ago
Pls helpppp me I’m super stuckkk
weeeeeb [17]

Answer:

slope=2

Step-by-step explanation:

subrtract -4-(-4) the two negatives make it a + so that becomes 8 and thats for the top one the bottom is 6-2 which is 4 then divide 8 by 4 to find the slope which is 2.

5 0
3 years ago
Other questions:
  • What is the value of 4 to the power of 6 ( 4 ⁶ ) over 4 to the power of 8 ( 4⁸ ) ? the answers are all fractions and no exponent
    9·1 answer
  • lila draws a 145° angle.Then ahe divides it into three smaller angels.one of the smaller angles measures 65° ,and the other two
    6·1 answer
  • Plz Help me with this question will give BRAINLIEST and 10 points!
    14·2 answers
  • A dripping faucet loses about 2.5×10^−4 litres of water each minute. There are approximately 3×10^5 minutes in a month.
    6·2 answers
  • How is 4/10÷2 and 4/10×1/2 both equal to 2/10​
    12·1 answer
  • ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎
    9·1 answer
  • TSA
    12·1 answer
  • 2^3 x 7 is the prime factorization of wich number
    6·2 answers
  • What property of addition would 3,500+0=3,500 be
    7·1 answer
  • Someone answers this I’ll give you brainliest and your earning a lot of points.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!