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
Alenkinab [10]
3 years ago
13

Solve this quadratic equation by completing the square. x2 + 10x = 26

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0
Ax^2+bx+c=d
to comlete teh square
minus c to both sides
make sure a=1, if not, divide both sides by a
take 1/2 of b, then square that and add that to both sides

so
x^2+10x=26
c is already over
a=1
b=10
10/2=5
5^2=25
add 25 both sides
x^2+10x+25=26+25
factor
(x+5)^2=51
sqrt both sides
x+5=+/-√51
 minus 5
x=-5+/-√51

x=-5+√51 or -5-√51
Misha Larkins [42]3 years ago
5 0
                        x² + 10x = 26
                x² + 10x + 25 = 26 + 25
          x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
         x(x + 5) + 5(x + 5) = 51
                 (x + 5)(x + 5) = 51
                          (x + 5)² = 51
                             x + 5 = ±√(51)
                                 - 5      - 5
                                   x = -5 ± √(51)
                                   x = -5 + √(51)    or    x = -5 - √(51)
You might be interested in
The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.
alexgriva [62]

Answer:

Hypotenuse is 13 ft.

Step-by-step explanation:

A=(1/2)bh

30=(1/2)(5)(h)

30=2.5h

h=12  so ZY = 12ft

Then

a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c

8 0
3 years ago
90×10 4<br><br><br> please help me guys
lubasha [3.4K]

if you mean 90 × 10⁴

then the answer would be, 900000.

but if you mean 9 × 10⁴ then the answer would be, 90000.

hope it helps.

Bye.

5 0
2 years ago
A tissue can be 0.000075 meters thick.
Setler [38]

Answer:

The required expression is 7.5\times 10^5

Step-by-step explanation:

Consider the provided information.

A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.

Steps to write a number in scientific notation.

  • Move the decimal place to the right so that the new number from 1 up to 10.
  • Determine the exponent, the exponent is the number of times you moved the decimal.

Now, consider the number 0.000075

Move the decimal point to 5 place right so that the new number from 1 up to 10.

Now, put the exponent the number of times you moved decimal. 7.5\times 10^5

Hence, the required expression is 7.5\times 10^5

5 0
3 years ago
Is this right please hep
romanna [79]

17 meters because 5^2+12^2=17 meaning the answer must be d

4 0
3 years ago
Read 2 more answers
Need HELP PLS PIC ATTACHED
Vera_Pavlovna [14]

Answer:

4x^{2}-13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like 4x^{2})

   4x^{2}+4x⋅-2-5x-5⋅-2

4x^{2}+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

4x^{2}-8x-5x-5⋅-2

4x^{2}-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

4x^{2}-8x-5x+10

Step 3: collect like terms

4x^{2}-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

4x^{2}-13x+10 is the most simplified so it should be your final answer

4 0
1 year ago
Other questions:
  • What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
    6·2 answers
  • In ABC what is the measure of angle B
    13·2 answers
  • A sale on dog food that cost $10 a bag says buy 1, get one 1/2 off. What is the true percent discount on the dog food?
    8·1 answer
  • 1. Provide two examples of a function: (1) as a table of values and (2) as a graph. Explain the definition of a function. Be sur
    15·1 answer
  • Correct answers only please!
    7·1 answer
  • Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, ho
    8·1 answer
  • 1. Subtract:
    14·2 answers
  • Are the two triangles above similar? Why or why not?
    10·2 answers
  • 0.25 (771-20q) simplified expression
    7·2 answers
  • What is the percent decrease of the price of a bicycle if the original price was $120 and the sale price is $80?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!