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
Irina-Kira [14]
3 years ago
7

Find the discriminant of the following quadratic equation then state the number of rational, irrational, and imaginary solutions

.
Equation: −6x2−6=−7x−9

Discriminant: Answer

Solutions:
Mathematics
2 answers:
lianna [129]3 years ago
8 0

Answer:

  • -6x² - 6 = -7x - 9
  • -6x² + 7x - 6 + 9 = 0
  • -6x² + 7x + 3 = 0
  • 6x² - 7x - 3 = 0

<u>Discriminant:</u>

  • D = (-7)² - 4*6*(-3) = 49 + 72 = 121

<u>Since D > 0, there are 2 real solutions:</u>

  • x = (- (-7) ±√121 )/12
  • x = (7 ± 11)/12
  • x = 1.5, x = -1/3

MAXImum [283]3 years ago
4 0

GIVEN:

  • <u>Equation</u>:— – 6x² – 6 = – 7x – 9

ANSWER:

On simplifying equation, we get

  • – 6x² + 7x – 6 + 9 = 0
  • – 6x² + 7x + 3 = 0
  • 6x² – 7x – 3 = 0

Discriminant(D) = b² – 4ac

  • (–7)² – 4 × 6 × – 3
  • 49 + 72
  • 121

Since, D > 0 Then it has real solutions.

x = – b ± √D/2a

  • –(–7) ± √121/2 × 6
  • 7 ± 11/12
  • 3/2 or –1/3.
You might be interested in
What is “1 more than the product of a number (n) and -8” as an algebraic expression?
3241004551 [841]

Answer:

-8n+1

Step-by-step explanation:

the word product indicates multiplication and it says that the product is between n and -8 so we are multiplying -8 and n. 1 more indicates addition so we are adding 1 to the product of -8n.

5 0
3 years ago
Solve the Equation p+5/8=15/16?
Sphinxa [80]
So the first thing you want to do when faced with two fractions with different denominators (when subtracting or adding) is to make the denominators the same. So for this equation they would turn out to be p+10/16=15/16 (because 16 is the lowest common denominator, 8 times two) so then you want to subtract 10/16 from 15/16 to isolate the variable (p) which would get: 
p=5/16
This is the final answer because it cannot be simplified.
Hope this helps!
6 0
3 years ago
Simplify the expression:<br> x+2/ x^2 -4 - (x - 2)
bonufazy [111]

Answer:

2 ( 1 + x )  ( 1 − x ) over  x ^2

Step-by-step explanation:

if you didn't get that its 2 ( 1 + x )  ( 1 − x ) as the numerator and  x ^2 as the denominator

3 0
3 years ago
Read 2 more answers
What is the closest whole number approximation of √50?
mr_godi [17]

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

6 0
2 years ago
Read 2 more answers
A store sells 2 printers for every 5 computers. The store sells 40 computers. How many printers does the store sell? I also have
Alona [7]
Well the answer of how many printers does the store sell is 16
so it would be 2 8 16

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which point is located in Quadrant I?
    6·2 answers
  • Approximate: log 5 ^4/7
    6·2 answers
  • [MA5T10 Dj Name the property being illustrated.
    12·1 answer
  • Enter an inequality that represents the graph in the box.
    5·2 answers
  • Use the pi key on a scientific or graphing calculator to compute the percent of error of the approximation of pi, 3.14, to the v
    5·1 answer
  • Describe what geometric figures you observe
    9·1 answer
  • What is 623.98 ÷ 1/100
    14·2 answers
  • Using the graph below, what is the value of f(8)?
    15·1 answer
  • Please answer this question
    13·2 answers
  • The thermostat for a house is set to 68 °F, but the actual temperature may vary
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!