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
Vanyuwa [196]
3 years ago
10

Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.

Mathematics
2 answers:
Readme [11.4K]3 years ago
6 0
To determine the solution of the quadratic equation, use the quadratic formula which states that,
                                x = ((-b  +/- sqrt (b² - 4ac)) / 2a
From the equation, a = 1, b = 14, and c = 112. Substituting these to the quadratic formula,
                               x = <span>((-14  +/- sqrt (14² - 4(1)(12)) / 2(1) = indeterminate
Thus, the equation does not a real number solution. </span>
padilas [110]3 years ago
6 0

Answer:

The given equation has no solution.

Step-by-step explanation:

Given the equation x^2+14x+112=0

we have to find the solution of the above equation.

The roots of quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Equation : x^2+14x+112=0

The roots are

x=\frac{-14\pm \sqrt{14^2-4(1)(112)}}{2}      

x=\frac{-14\pm \sqrt{196-448}}{2}=\frac{-14\pm \sqrt{-252}}{2}      

Since, determinant under the root is negative

⇒ The given equation has no real solution.

Last option is correct.

You might be interested in
victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. ap
kupik [55]
The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.  

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8.  This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4.  This is the same as 
1 in = 4 mi.
6 0
3 years ago
Read 2 more answers
A baseball card bought for $75 increases in value by 3% per year. what is the value of the card after 15 years
sammy [17]
If the value of the baseball card increases by 3% per year then we can say that each year the value of the card may be multiplied by 103% = 1.03, thus:

Value after n years = original price*(1.03)^n
Value after 15 years = 75*(1.03)^15
= $116.85
8 0
3 years ago
Why is the value of q?
Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

                                 = 10 + 4

                                 = 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{14}{q} =\frac{q}{4}

Do cross multiplication.

$\Rightarrow14\times 4 =q\times q

$\Rightarrow 56 =q^2

Switch the sides.

$\Rightarrow q^2 =56

Taking square root on both sides.

\Rightarrow q =2 \sqrt{14}

The value of q is 2 \sqrt{14}.

8 0
3 years ago
Which statement is true about the difference 2 square root of 7 − square root of 28?
3241004551 [841]
<span> 2 square root of 7 − square root of 28
= 2</span>√7 - √28
= 2√7 - 2√7
= 0
4 0
3 years ago
Read 2 more answers
Solve 23h2+h=−13 by using the quadratic formula
andrew11 [14]

Answer:

2.1

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Simplify the expression 6^3 + 5(4 − 2).<br> 28<br> 36<br> 226<br> 234
    15·1 answer
  • 2/5=8/? show work mark braniest
    9·1 answer
  • Verify that the function(s) solve the following differential equations (DES): a) y' = -5y; y = 3e-5x b) y' = cos(3x); y = į sin(
    7·1 answer
  • A high school student working part time as a cashier had a gross income of $8125 last year if her federal tax rate was 10% of th
    5·2 answers
  • Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their s
    15·1 answer
  • X^2-4y^2=9; x+2y=1, solve for x and y​
    9·1 answer
  • A linear equation determines a line in the xy-plane.<br><br> A. True<br> B. False
    12·2 answers
  • Loraine is procrastinating on her chemistry homework. She's never really enjoyed chemistry and finds the subject dull, even thou
    11·1 answer
  • Mackenzie built the small LEGO set. It cost $5.49.
    12·1 answer
  • If f(x) = 4x² + 1 and g(x)=x2-5, find (f- g)(x).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!