Mathematics, 02.09.2019 07:10 bigmouth804

Which are the solutions of the quadratic equation?
x2 = –5x – 3

Answers: 2

Show answers

Answers

Answer from: karizm2010

The goal of solving a quadratic equation:

$x^{2}$ = -5x - 3

Move all terms to one side and set the equation = to zero. This means adding -5x and 3 to both sides.

$x^{2}$ + 5x + 3 = 0

To solve a quadratic equation, you need the quadratic formula. The purpose of the quadratic formula is to find the "zeros" of an equation when the "zeros" are not whole numbers. A "zero" of an equation is the value of x when y equals zero, so basically the x-intercept. The x-intercepts are the points where your graph will intersect the x-axis.

Quadratic formula: $\frac{-b\frac{+}{-} \sqrt{(b)^{2} - 4ac}}{2a}$

$\frac{+}{-}$ means "plus" or "minus." if there are two signs, there will be two answers.

In the quadratic formula, you may have observed the values of a, b, and c.

These values can be found in the standard form of an exponential graph.

Standard Form: $ax^{2} +bx + c$

"a" is the coefficient of the first term in your original equation.

$x^{2}$ + 5x + 3 = 0

The coefficient of $x^{2}$ is 1.

"b" is the coefficent of the second term.

The coefficient of 5x is 5.

"c" is your constant term, which is a value that does not change. In this case, it is 3, the number at the end.

Plug in your a, b, and c values into the quadratic equation.

a = 1, b = 5, c = 3

$\frac{-(5)\frac{+}{-} \sqrt{(5)^{2} - 4(1)(3)}}{2(1)}$

$\frac{-5\frac{+}{-} \sqrt{(25 - 12)}}{2}$

$\frac{-5\frac{+}{-} \sqrt{(13)}}{2}$

This expression can be considered the final answer. However, in some cases, you will need to simplify further. Because of the plus/minus symbol, you will have two distinct answers.

$\frac{-5\ - \sqrt{13}}{2}$ $\frac{-5\ + \sqrt{13}}{2}$

One answer has a "-" symbol and the other answer has a "+" symbol. This is because a square root will always have two answers: a negative number and a positive number. $\sqrt{x}$ times $\sqrt{x}$ = x. - $\sqrt{x}$ times - $\sqrt{x}$ = x.

The square root of 13 is roughly 3.6

$\frac{-5 - 3.6}{2}$ $\frac{-5 + 3.6}{2}$

$\frac{-8.6}{2}$ $\frac{-1.4}{2}$

x = -4.3, x = -0.7

I know my answer is long, but the process is very straight forward. Simply find your a, b, and c values, plug them into the quadratic formula, and simplify.

Some common mistakes made in this process include:

Not including the negative in you a, b, and c values. For example:

$x^{2} -3x - 10$

a = 1, b = -3, and c = -10.

Remember to include the negative sign! It is part of the value itself.

Another mistake is not setting the equation to zero. Perhaps there is a number or term on the other side of the equation. For example:

$x^{2} -3x - 5 = 5$

Do NOT leave the 5 on the other side. The equation must be equal to zero. Remember we are trying to find the x-intercepts? To find those, y must = 0.

Subtract or add to get rid of the terms on the other side.

Answer from: Quest

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

Answer from: Quest

first one is a: renaming a fraction. second one is c: de-c

step-by-step explanation:

my explanation is that these were the answers on edg : )

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:20, lpssprinklezlps

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?

Answers: 3

continue

Mathematics, 21.06.2019 23:00, Lizethh1

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i. e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the catererâ€™s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

Answers: 1

continue

Mathematics, 21.06.2019 23:20, ruddymorales1123

Identify the function that contains the data in the following table: x -2 0 2 3 5 f(x) 5 3 1 2 4 possible answers: f(x) = |x| + 1 f(x) = |x - 2| f(x) = |x - 2| - 1 f(x) = |x - 2| + 1

Answers: 1

continue

Mathematics, 22.06.2019 00:00, djjdjdjdjdNfnd1941

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel

Answers: 2

continue

You know the right answer?

Which are the solutions of the quadratic equation?
x2 = –5x – 3...