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natulia [17]
3 years ago
11

Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0

Mathematics
2 answers:
Artemon [7]3 years ago
8 0

Answer:

x₁ = <u>5 + √11</u>

         2

x₂ = <u>5 - √11</u>

          2

Step-by-step explanation:

quadratic formula is given by

x = <u>-b ±√b² - 4ac</u>

             2a

a = 2, b = -10, c = 7

x = <u>-(-10) ± √-10² - 4*2*7</u>

                  2*2

x = <u>10 ± √100 - 56</u>

           4  

x = <u>10 ± √44 </u>   = <u>2(5 ± √11)</u>  = <u>5 ± √11</u>

             4                   4               2

x₁ = <u>5 + √11</u>

           2

x₂ = <u>5 - √11</u>

           2

sladkih [1.3K]3 years ago
7 0

Answer:X=11/10

Step-by-step explanation:

2x2-10x+7=0

<u><em>4</em></u>-10x+<u><em>7</em></u>=0

11-10x=0

-10x= -11

Divide both side by -10

-10x/-10.  -11/-10

Answer= 11/10

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What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)
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8 0
3 years ago
Read 2 more answers
There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4
Sergeeva-Olga [200]

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information:

  • S=\frac{3}{4}A
  • C=\frac{1}{4}T
  • H=\frac{1}{5}T
  • H = A-80

Compute the expression of <em>T</em> as follows:

H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)

Compute the value of <em>C</em> in terms of <em>A</em>:

C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)

Compute the value of <em>A</em> as follows:

Use expressions (i) and (ii):

T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220

Compute the value of <em>T</em> as follows:

T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020

Thus, the total number of books is 1020.

4 0
3 years ago
0.07 is 1\10 of what pls explain
balu736 [363]
0.7 is the answer, I will not explain or you as you should figure that out.
8 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
tino4ka555 [31]

Answer:   The correct answer is:   [C]:  "  15^{(7/4)} " .

____________________________________

Step-by-step explanation:

____________________________________

Note the property for square roots in exponential form:

_____________________________________

     →    \sqrt[a]{(b)^ c}  ;  ↔  bb^{(c/a)} ;

    { a\neq 0 ; [a^{(b/c)}]\neq 0 ; c\neq 0  .}.

_____________________________________

As such, given:

     →    \sqrt[4]{(15^7)} ;  

  a = 15,  b = 7,  c = 4 .

     

     →    \sqrt[4]{(15^7)} ;   ↔  15^{(7/4)} ;

     →  which corresponds to:

_____________________________________

Answer choice:  [C]:  "  15^{(7/4)} " .

_____________________________________

Hope this helps!

  Wishing you well in your academic endeavors!

_____________________________________

5 0
3 years ago
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