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
Molodets [167]
2 years ago
5

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
eimsori [14]2 years ago
4 0

The solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the solution to the quadratic equation?</h3>

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, the quadratic equation is given as

5x^2 + 11x + 2 = 0

Using the form of the quadratic equation y = ax^2 + bx + c, we have

a = 5, b = 11 and c = 2

The quadratic equation can be solved using the following formula

x = (-b ± √(b^2 - 4ac))/2a

Substitute the known values of a, b and c in the above equation

x = (-11 ± √(11^2 - 4 * 5 * 2))/2*2

Evaluate the exponent

x = (-11 ± √(121 - 4 * 5 * 2))/2*2

Evaluate the products

x = (-11 ± √(121 - 40))/4

Evaluate the sum

x = (-11 ± √(81))/4

Take the square root of 81

x = (-11 ± 9)/4

Expand

x = 1/4 * (-11 + 9) or x = 1/4 * (-11 - 9)

Evaluate the difference

x = 1/4 * -2 or x = 1/4 * -20

Evaluate the product

x = -1/2 or x = -5

Hence, the solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

You might be interested in
What is the average rate of change in f(x) over the interval [4,13]?
mestny [16]

we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

So

A=\frac{(f(b)-f(a))}{(b-a)}

in this problem

a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11

substitute the values in the formula above

A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9}

Divide by 3 both numerator and denominator

A=\frac{1}{3}

therefore

the answer is

\frac{1}{3}

8 0
3 years ago
Read 2 more answers
Que es un término algebraico
Tems11 [23]

Answer: an algebraic term?

Step-by-step explanation:

8 0
2 years ago
For which triangle is the length of the hypotenuse an INTEGER?
artcher [175]

A right triangle :) to find the length of a missing side, you can use the pythagorean theorem (a^2 + b^2 = c^2)

4 0
3 years ago
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1;
lukranit [14]

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

6 0
2 years ago
Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.
Paraphin [41]

Answer:

sin θ = (√119)/12

tan θ = (√119)/5

csc θ = 12/(√119)

cot θ = 5/(√119)

6 0
2 years ago
Other questions:
  • (x-3)^2+ (y-5)^2 = 144 <br> is it (3,5) or (-3,-5)
    13·2 answers
  • Write the following question expression in simplest binomial form 4(3x-2)-2(4x+5)
    7·1 answer
  • Help looks like i forgot to read a ruler
    15·2 answers
  • Solution to equation c-4&gt;2(c)
    15·1 answer
  • -6-(-6)-<br> What is the value
    15·2 answers
  • (-8 ÷ 4) + 5 + 4(3 - 6)=
    9·2 answers
  • Carmine wants to know how many square feet of carpeting he will need to buy to cover his family room floor. Which geometric meas
    15·1 answer
  • PLEASE HELP AS SOON AS YOU CAN!!!!
    12·1 answer
  • -5w-5(-4z +2w) + 5z<br>what is the answer​
    12·2 answers
  • The surface temperature, t, of a planet depends on the planet's distance,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!