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
omeli [17]
3 years ago
7

Solve the equation by completing the square

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

s = - 1 ± \sqrt{7}

Step-by-step explanation:

Given

s² + 2s - 6 = 0 ( add 6 to both sides )

s² + 2s = 6

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(1)s + 1 = 6 + 1

(s + 1)² = 7 ( take the square root of both sides )

s + 1 = ± \sqrt{7} ( subtract 1 from both sides )

s = - 1 ± \sqrt{7}

Thus

s = - 1 - \sqrt{7} , s = - 1 + \sqrt{7}

You might be interested in
What is the factored form x^3 - 1 ?
amid [387]

Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)

Explanation:

This is a type of factorizing called the sum or difference of 2 cubes:

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

The sum of the cubes is factored as:

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

In this case, we have: x^3 - 1 so follow the rule above.

x^3 - 1 = (x - 1)(x^2 + x + 1)

7 0
3 years ago
3 to the 2 power plus (9-5)
QveST [7]

Answer:

{3}^{2}  + (9 - 5) \\  = 9 + 4 \\  = 13

3 0
2 years ago
Read 2 more answers
Please help I’m so confused
kari74 [83]

1) angle MIG = angle JIH

2) angle PMJ = angle QHG

3) angle MJI

4) 100

6 0
3 years ago
What is the volume of this solid? Recall the formula V = Bh.
Viktor [21]

Answer:

280

Step-by-step explanation:

V=Bh

V=1/2(7x10)8      *it is a triangluar pyrmid so the base is a triangle*

V=1/2x70x8

V=35x8

V=280

Answer:280

5 0
3 years ago
Read 2 more answers
A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th
Gennadij [26K]
<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

h(t) = -16t^2 + 84t + 20

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0
3 years ago
Other questions:
  • Find the dimensions of a rectangle whose perimeter is 16 meters and whose area is 15 square meters
    6·1 answer
  • Kendra has 5.5 pounds of popcorn and wants to package it equally in 50 bags.How can she use place-value reasoning to find the am
    5·2 answers
  • What is the exact amount of pie?
    6·2 answers
  • What is the equation of this line? y = 4x y=−14x y=14x y=−4x
    15·1 answer
  • Jan has 500 pieces of paper. She prints as many copies as possible of a 16-page report. How many pieces of paper are left?
    15·1 answer
  • a photo masured 15cm by 10cm andbis put in a frame that measures 25cm by 20cm calculate the are of the space between the photogr
    7·1 answer
  • What shape has 3 equal sides 4 centimeters in length and no right angles
    6·2 answers
  • Find the slope between (2,-3) and (4,3)
    15·1 answer
  • A box has a total surface area of $100.$ The length of the box is equal to twice its width, as well as equal to $3$ less than it
    15·1 answer
  • Find the measure of angle T. Please help it’s for a test
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!