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
Natali [406]
3 years ago
13

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below. Table showing 3 steps to solve an

equation using the quadratic formula. What are the solutions to the equation?
Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

              \underline{x\in\left\{-6\,,\ 1\right\}}

Step-by-step explanation:

x^2+5x-6=0\\\\a=1\,,\ \ b=5\,,\ \ c=-6\\\\x_1=\dfrac{-5-\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5-\sqrt{25+24}}2=\dfrac{-5-\sqrt{49}}2=\dfrac{-5-7}2=-6\\\\x_2=\dfrac{-5+\sqrt{5^2-4\cdot1\cdot(-6)}}{2\cdot1}=\dfrac{-5+7}2=1

You might be interested in
The lengths of two sides of a triangle are given. Find the range of possible lengths for the third side.
Sladkaya [172]

Answer:

0 < x < 12

Step-by-step explanation:

According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12

0 < x < 12

6 0
2 years ago
Laws Of Indicies<br>Can someone please help me with this?​
nasty-shy [4]

Answer:

See below

Step-by-step explanation:

1) :  {a}^{5}  {b}^{4}  {c}^{3}  \div  {a}^{2}  {b}^{3} c \\  \\  = {a}^{5 - 2}  {b}^{4 - 3}  {c}^{3 - 1}  \\  \\  = {a}^{3}  {b}^{1}  {c}^{2}  \\  \\ = {a}^{3}  {b}  {c}^{2}  \\  \\  \\2)\:  (x^2 y^3)^3\\\\= x^{2\times 3}y^{3\times 3}\\\|= x^{6}y^{9}\\\\\\3)\:5 {a}^{4}   \div ( {a}^{2}  \times 3a) \\  \\  = 5 {a}^{4}   \div (3 {a}^{2 + 1}  ) \\  \\  = 5 {a}^{4}   \div (3 {a}^{3}  ) \\  \\  =   \frac{5}{3}  {a}^{4 - 3}  \\  \\ =   \frac{5}{3}  {a} \\  \\  \\ 4)\: \frac{14 {a}^{5} }{2 {a}^{3} \times 7 {a}^{4}  }  \\  \\  =   \frac{14 {a}^{5} }{2 \times 7 {a}^{3 + 4} }   \\  \\  =   \frac{ \cancel{14} {a}^{5} }{ \cancel{14}{a}^{3 + 4} }    \\  \\  =   \frac{  {a}^{5} }{ {a}^{7} }   \\  \\  =  {a}^{5 - 7}  \\  \\  =  {a}^{ - 2}  \\  \\  =  \frac{1}{{a}^{2} }  \\  \\

8 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-3, 3)
Georgia [21]

Answer:

y=\frac{1}{3}x +4

Step-by-step explanation:

3 0
3 years ago
M-15=9 inverse operation
zheka24 [161]

Answer: 24

Step-by-step explanation:

m - 15 + 15 = 9 + 15

m = 24

6 0
3 years ago
Answer these two and get marked as barinliest!!!
pashok25 [27]
First one is $16 and the second is $276.25
4 0
2 years ago
Read 2 more answers
Other questions:
  • Bernite is selling candy for a school fundraiser. The school paid $20 for a box of 15 king size candy bars and bernite sells the
    15·1 answer
  • Please help me with this function. No one has been giving me correct answers!
    5·1 answer
  • the networking organization you joined is throwing a party. you are in charge of buying the chips, which cost $2.50 per bag and
    7·1 answer
  • Help me plz It’s Algebra 1
    12·2 answers
  • Which relationship has a zero slope?
    11·2 answers
  • PLEASE HELP ME I WILL MARK YOU BRAINLIEST
    6·2 answers
  • The formula for the cost of buying a car is: Cost= 12 x monthly payment + deposit Find the cost of a car when the monthly paymen
    7·1 answer
  • The number 30 is divisible by... select all that apply.
    7·1 answer
  • Pls help ill give brainliest
    9·1 answer
  • Use the equation to answer the question. x-10= 30 What value of x makes the equation true?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!