MATHEMATICS COLLEGE

What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Answers

Answer 1

Answer:

if we were to use the quadratic formula, we would get that the roots are

$(-b\pm√(b^2-4ac))/(2a)$

or that the 2 seperate roots are

$(-b+√(b^2-4ac))/(2a)$ and $(-b-√(b^2-4ac))/(2a)$

if we sum these, then the $√(b^2-4ac)$ bits will cancel and we wil be left with

$(-b-b)/(2a)$ or $(-2b)/(2a)$ or $(-b)/(a)$

the sum of the solutions is $(-b)/(a)$

Answer 2

Answer:

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b

Related Questions

What is 9x-2?????????????
Rewrite with positive exponents a^-3 b^-5
Rick and Tom rented party halls. The Celebrations party hall charged Rick a rental fee of $65, including music, and $25 per guest. The Feast party hall charged Tom a rental fee of $40, $25 for music, and $25 per guest.If each of them spent the same amount of money, how many guests attended Rick and Tom's party?A. Five more guests attended Rick's party than Tom's party.B. Fifteen more guests attended Tom's party than Rick's party.C. The same number of guests attended Rick and Tom's party.D. Twenty-five more guests attended Rick's party than Tom's party.
I have no idea what I am doing. Here is one of my problems, A gas station sells 1500 gallons of gasoline per hour if it charges $ 2.10 per gallon but only 1300 gallons per hour if it charges $ 2.95 per gallon. Assuming a linear model(a) How many gallons would be sold per hour of the price is $ 2.70 per gallon?(b) What must the gasoline price be in order to sell 800 gallons per hour?(c) Compute the revenue taken at the four prices mentioned in this problem -- $ 2.10, $ 2.70, $ 2.95 and your answer to part (b). Which price gives the most revenue?
ANSWER ASAP IM BEING TIMEDWILL GIVE BRAINLIEST IF UR CORRECT AND IF I GET AN A ILL DO A FREE POINT GIVEAWAY Choose the polynomial written in standard form. xy2 + 4x4y + 10x2 x4y2 + 4x3y + 10x x4y2 + 4x3y5 + 10x2 x6y2 + 4x3y8 + 10x

PLS DO 3-4 I WILL BRAINLIST YOU AND USE THE DATA AND EXPLAIN IT PLSSS HELP

Answers

Answer:

25, 33

Step-by-step explanation:

3. 124 divided by 5 is 24 remainder 4, so they will need 25 cars

4. 230 divided by 7 is 32 remainder 6, so they will need 33 boxes

Hey can you please help me posted picture of question

Answers

Each leaf on the tree diagram represents a possible combination. So we are to find the total number of combinations for the given scenario.

There are 5 ways to select the pant, 7 ways to select a shirt and 3 ways to select the shoes.

Total number of combinations will be the product of all these ways the dress items can be selected.

So, number of combination of outfits = 5 x 7 x 3 = 105

Therefore, option B gives the correct answer

Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.) (a) 1 + 2 + 3 + 4 + . . . + 397 + 398 + 399 + 400 (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545 (c) 2 + 4 + 6 + 8 + . . . + 72 + 74 + 76 + 78

Answers

these question give me headache

Final answer:

This answer uses Gauss's method to effectively find the sum of arithmetic series without a calculator or formula. By pairing numbers at the start and end of the series, a constant sum is found which can be easily multiplied by the number of pairs, providing the total sum of series. The sums are 80200, 149238, and 1560 respectively for the given scenarios.

Explanation:

To solve a series of summations without the use of a calculator or formula, we can apply a method used by Gauss. This problem relates to the concept of arithmetic series in mathematics.

Step 1: Understand the problem. We're asked to find the sum of certain series. This involves adding all the numbers in the series together.
Step 2: Devise a plan. The strategy that Gauss used was to pair numbers at the start and end of an arithmetic series. This way, each pair totals the same sum, making it easier to solve.
Step 3: Carry out the plan.
1. (a) Sum of 1 to 400: Pair numbers (1+400, 2+399, 3+398, etc.), every pair equals 401. There're 200 pairs, so 401*200 = 80200.
2. (b) Sum of 1 to 545: Same strategy. Each pair (1 + 545, 2 + 544, 3 + 543, etc.) equals 546. There're 273 pairs, so the sum is 546*273 = 149238.
3. (c) Sum of even numbers from 2 to 78: Notice it is an arithmetic series (2, 4, ...78). The first term a = 2 and last term l = 78. There're 39 terms. By using formula for arithmetic series (n/2)*(a + l), we have (39/2) * (2 + 78) = 1560.
Step 4: Look back. Confirm the plan was executed correctly by reviewing the steps taken.

Learn more about Sum of Series here:

brainly.com/question/35091325

#SPJ2

9s − 5 s = 8 knnnkjbkbbhjhghuj

Answers

9*8=72

72-5=67

The final answer is 67.

Please mark Brainliest

Thank you

ANSWER ASAP IM BEING TIMEDWILL GIVE BRAINLIEST IF UR CORRECT AND IF I GET AN A ILL DO A FREE POINT GIVEAWAY

Choose the correct classification of 5x + 3x4 − 7x3. (5 points)

Third degree polynomial
Fourth degree trinomial
Sixth degree polynomial
First degree binomial

Answers

Answer:

option b

Step-by-step explanation:

fourth degree trinomial

PLEASE HELP ME ASAPP if can of not then just leave it

Answers

Answer:

Step-by-step explanation:

Other Questions

HELP! Will be giving branliest!!!!

I need these please

What is 35.5% of $210,000?

Find the measure of angle b