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
ira [324]
3 years ago
6

Match each quadratic equation with its solution set.

Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

Answer:

  • 2x^2-32 = 0 ===> (-4,4)
  • 4x^2 -100=0 ===> (-5,5)
  • x^2 -55=9 ==>(-8, 8)
  • x^2-140= -19 ===>(-11 ,11)

Step-by-step explanation: Further explanation

2x^2-32=0\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\2x^2-32+32=0+32\\\\2x^2=32\\\\\frac{2x^2}{2}=\frac{32}{2}\\\\\mathrm{For\:}x^2=f\left(a\right)\\\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\x=4,\:x=-4

4x^2-100=0\\\mathrm{Add\:}100\mathrm{\:to\:both\:sides}\\4x^2-100+100=0+100\\4x^2=100\\\frac{4x^2}{4}=\frac{100}{4}\\x^2=25\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{25},\:x=-\sqrt{25}\\\\x=5,\:x=-5

x^2-140=-19\\x^2-140+140=-19+140\\x^2=121\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{121},\:x=-\sqrt{121}\\x=11,\:x=-11

x^2-55=9\\x^2-55+55=9+55\\x^2=64\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{64},\:x=-\sqrt{64}\\x=8,\:x=-8\\

2x^2-18=0\\2x^2-18+18=0+18\\2x^2=18\\\frac{2x^2}{2}=\frac{18}{2}\\x^2=9\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{9},\:x=-\sqrt{9}\\x=3,\:x=-3

Luba_88 [7]3 years ago
5 0

Answer:

2x²-32 ⇒ x²=16⇒ (-4,4)

4x²-100 ⇒x²=25 ⇒(-5,5)

x²-55=9 ⇒x²=64 ⇒(-8,8)

x²-140=-19 ⇒x²=121 ⇒(-11,11)

2x²-18=0 ⇒x²=9 ⇒(-3,3)

You might be interested in
Question 30 Unsaved
Ksivusya [100]
If the speed is constant, there is no acceleration. No acceleration, no force. 

8 0
3 years ago
Read 2 more answers
Which of the following are solutions for x<br> in the equation ax2 = bx?<br> Select all that apply.
Brums [2.3K]
I uploaded it here as the answers Bc




Slkwowkneojw
5 0
2 years ago
The Zamboni can resurface 1200 square feet per minute. How many minutes will it take the Zamboni to resurface the entire rink if
Alekssandra [29.7K]

Answer:

b

Step-by-step explanation:

sorry if wrong

7 0
3 years ago
Factor the polynomial:<br> ab −3b+b^2−3a
Pavlova-9 [17]

ab(b-3)


ab-3b+b^2-3a

(-3a+ab)(-3b+b^2)

a(b-3) b(b-3)

ab(b-3)

8 0
2 years ago
1.)300.8 m to yards<br> 2.)80 yards to mm<br> 3.)15 kg/L<br> 4.)40cm/sec to mph
Lapatulllka [165]

1.)3.&

2.)8mm

3.)5

4.)400

5 0
3 years ago
Other questions:
  • as part of her effort to help the earth, melissa wants to plant 50,564 trees in the next 4 years. She planted 10,524 the first y
    15·1 answer
  • I need help I don't understand
    7·1 answer
  • Find the shaded area of the basketball court to the nearest foot.
    13·1 answer
  • A truck's gas tank holds 50 gallons of gas. if one gallon takes 30 seconds to pump, how many minutes will it take to fill the em
    5·1 answer
  • A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and se
    11·2 answers
  • Recovery
    10·1 answer
  • What is a coefficient?<br><br> please explain correctly
    7·2 answers
  • Please help! Solve the following:
    8·1 answer
  • Help pleaseeeeeeeeeeeeee
    11·1 answer
  • A cone is 10cm high and has a base radius of 8cm.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!