MATHEMATICS HIGH SCHOOL

The square of a number plus the number is 42 . Find the number (s).

Answers

Answer 1

Answer:

Answer: s = 6 or s = -7

Step-by-step explanation:

Our task is to find the number. But first, let's write the equation:

The square of a number s plus the number is 42.

The square of s = $\sf{s^2}$

Plus s = $\sf{s^2+s}$

this equals 42: $\sf{s^2+s=42}$

Now, let's solve for s. Subtract 42 from both sides, and set the right-hand side equal to 0.

$\sf{s^2+s-42=0}$

Now, let's factor it.

Think of two numbers that:

multiply to -42
add up to 1

These numbers are 6 and -7.

So, the factored expression is :

(s + 6)(s - 7) = 0

Either s + 6 is 0 or s - 7 = 0.

We have two little equations that we can solve for s:

s + 6 = 0 s - 7 = 0

s = 0 - 6 s = 0 + 7

s = -6 s = 7

Answer 2

Answer:

Final answer:

To find the number(s) that satisfy the equation x^2 + x = 42, you can factorize the quadratic equation (x + 7)(x - 6) = 0 and solve for x. The solutions are x = -7 and x = 6.

Explanation:

To find the number(s) that satisfies the equation, let's represent the number as 'x'. According to the question, the square of the number plus the number is equal to 42. This can be written as x^2 + x = 42. Rearranging the equation, we get x^2 + x - 42 = 0. To solve this quadratic equation, we can factorize it or use the quadratic formula.

Factoring the quadratic equation, we find (x + 7)(x - 6) = 0. Setting each factor equal to zero, we get x + 7 = 0 and x - 6 = 0. Solving these equations, we find x = -7 and x = 6.

Therefore, the number(s) that satisfy the equation are x = -7 and x = 6.

Learn more about Finding solutions to a quadratic equation here:

brainly.com/question/34125066

#SPJ2

Related Questions

Mike observed that 75% of the students of a school liked skating. If 35 students of the school did not like skating, the number of students who liked skating was ______. (only put numeric values, no other symbols)
Henry divides 1.060 g by 1.0 mL to find the density of his water sample. How many significant figures should he include in the density value that he reports?
Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.A. Yes, because the sum of any two multiples of 4 is also a multiple of 4. B. Yes, because the sum of any two multiples of 4 is also a multiple of 8. C. No, and a counterexample is –4 + (–8) = –12. D. No, and a counterexample is 26 + 16 = 42.
What's the answer too x+7/7x+35*x^2-3x-40/x-8
What is the area of the figure? Triangle with a height of two feet with a rectangle attached to the base. Rectangle width is six feet and height is five feet. ft2

Tyler wants to buy a new television that costs $312.

Answers

Answer:

ummm is there more to the problem?!

Cool.... the question???

Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabric costs $5.How much does she pay for all 5 pieces of fabric?

Answers

Answer:

1. 8.5 yards.

2. $42.5

Step-by-step explanation:

We have been given that Sue buys 5 pieces of fabric. Each piece is $1(7)/(10)$ yards long.

1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.

$\text{Total length of the fabric}=5* 1(7)/(10)\text{ yards}$

$\text{Total length of the fabric}=5* (17)/(10)\text{ yards}$

$\text{Total length of the fabric}=(17)/(2)\text{ yards}$

$\text{Total length of the fabric}=8.5\text{ yards}$

Therefore, Sue bought 8.5 yards of fabric.

2. 1 yard of fabric costs $5.

So 8.5 yards of fabric will cost : 5*8.5

$\text{Total cost of the fabric}=5* 8.5$

$\text{Total cost of the fabric}=42.5$

Therefore, the cost of total fabric bought by Sue is $42.5.

Below are five number sequences. Which ones are geometric sequences?Check all that apply.A- 1 2 3 4 53 9 27 81 343B. 2, 3, 5, 9, 17,C. 3, -12, 48, -192, 768,D. 3, -15, -33, -51, -69,E., 1 1 1 1

Answers

Geometric sequence is a sequence of values where the next term is the product of the previous term multiplied by a fixed amount called common ratio.

Among the choices, I find 2 that are geometric sequences.

C. 3, -12, 48, -192, 768 common ratio is -4

E. 1, 1/2, 1/4, 1/8,1/16 common ratio is 1/2

How are fractions and decimals related

Answers

A fraction is a short way to write a division problem. When you see a fraction, it means "the top number divided by the bottom number". When you actually DO the division, the answer is the decimal that's equal to the fraction.

because fractions and decimals represent the same value just in a different form

What is the gcf of 44j5k4 and 121j2k6

the answe is d :11j2k4

Answers

The greatest common fact for the two given is 11jk2.

you would pull 11 our because both 44 and 121 are divisible by 11, the j because they both have one j, the k because they both only have one k that you can take out, and 2 because both 4 and 6 are divisible by 2 and it's the largest number that you can take out of the two.

Use the discriminant to determine the number and type of solutions to the quadratic equation. Show all work for full credit! 2+ 8= 13