All categories

3 years ago

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 2 1 cannot be determined

Mathematics

1 answer:

Marina CMI [18]3 years ago

4 0

Answer:

0 solution

Step-by-step explanation:

Given

$x^2 + 5x+ 7 = 0$

Required

Find number of solutions;

The number of solutions can be determined via the value of determinants, D;

Such that

$D = {b^2} - {4ac}$

By comparing the general form of equation;

$ax^2 +bc x + c = 0$

with $x^2 + 5x+ 7 = 0$

This gives

$a = 1\\b = 5\\c = 7$

So;

$D = {b^2} - {4ac}$ becomes

$D = {5^2} - {4*1*7}$

$D = {25} - {28}$

$D = -3$

The calculated value of D is less than 0;

This implies that $x^2 + 5x+ 7 = 0$ has no real solution

You might be interested in

good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

borishaifa [10]

Answer:

7. $x=3$

8. l=11cm and w=7 cm

9. $x-5\ge12$

10. $\frac{x}{3}\le15$

Step-by-step explanation:

Question 7.

The given expression is:

$12-3(2x+1)=7x-3(7+x)$

Expand the parenthesis using the distributive property:

$12-6x-3=7x-21-3x$

Group similar terms:

$-6x-7x+3x=-21+3-12$

Simplify

$-10x=-30$

Divide both sides by -10

$x=3$

Question 8:

Let the width of the rectangle be; $w$

The length of the rectangle is $l=w+4$

The perimeter is given as: $P=2(l+w)$

Given that the perimeter P=36, then:

$36=2[(w+4)+w)]$

$\implies 36=2(2w+4)$

Divide both sides by 2:

$\implies 18=2w+4$

Subtract 4 from both sides:

$\implies 18-4=2w$

$\implies 14=2w$

$\implies w=7$

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as $x-5$

"5 fewer than a number is at least 12" becomes

$x-5\ge12$

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

$\frac{x}{3}$

The quotient of a number and 3 is no more than 15 is written as;

$\frac{x}{3}\le15$

4 0

3 years ago

X − 6 = 63 − 10(x + 8)

il63 [147K]

$\red { \green {\boxed {\boxed{Answer}}}}$

$x - 6 =63 - 10(x + 8)$

$x - 6 = 63 - 10x - 80$

$x - 6 = 63 - 80 - 10x$

$x - 6 = - 17 - 10x$

$x - 6 + 10x = - 17$

$x + 10 x- 6 = - 17$

$11x - 6 = - 17$

$11x = - 17 + 6$

$11x = - 11$

$x = \frac{ - 11}{11}$

$x = - 1$

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

8 0

3 years ago

Read 2 more answers

19. You roll two standard number cubes. What is the probability that the sum is odd, given than one of the number cubes shows a

In-s [12.5K]

6 numbers per cube

if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum

1+2=3, 1+4=5,1+6=7

since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability

so 1/2 probability

5 0

3 years ago

Read 2 more answers

Which of the following is equivalent to (5)^7/3? 5^-4<br> 5^4<br> ^7squroot5^3<br> ^3squroot5^7

kvv77 [185]

Answer:

^7 squroot5^3

Step-by-step explanation:

5x2= 10

7÷ 3= 2.5

8 0

3 years ago

Kasey asked 6 of her friends how many episodes of their favorite show they

ivanzaharov [21]

Answer:

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10 Multiply each side by 6

43 + m = 10 * 6

43 + m = 60 Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

3 0

3 years ago