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2 years ago

What are the step to the Quadratic Formula?

Mathematics

1 answer:

ivanzaharov [21]2 years ago

6 0

The steps to solve a quadratic formula include:

Combine all of the like terms and move them to one side of the equation
Factor the expression
Set each set of parenthesis equal to zero as separate equations
Solve each "zeroed" equation independently

<h3>What is a quadratic equation?</h3>

In algebra, a quadratic equation is a equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0.

A quadratic equation is an equation that could be written as ax² + bx + c = 0

when a 0. The factoring method is illustrated:

To solve a quadratic equation by factoring, put all terms on one side of the equal sign, leaving zero on the other side.

Set each factor equal to zero.

Solve each of these equations.

Check by inserting your answer in the original equation.

Example 1

Solve x² – 6 x = 16.

Following the steps,

x² – 6 x = 16 becomes x² – 8x + 2x – 16 = 0

Factor.

( x – 8)( x + 2) = 0

Therefore, x = 8 and -2.

Learn more about quadratic on:

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Expand the expression: -7 (4y -3x) - 8

givi [52]

Answer:

-7 (4y-3x) - 8 = 0

Step-by-step explanation:

7 0

3 years ago

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A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside

Taya2010 [7]

Answer:

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

Step-by-step explanation:

Previous concepts

Parameter represent a property of a population and is calculated with the information of all the populatio. Some examples are the population mean and deviation $\mu,\sigma$

Statistic represent a propoerty of a sample and are used used in order to describe the population parameters, since represent estimators of the real parameters.

Solution to the problem

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

8 0

3 years ago

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Consider the function f(x)=2|x|−3 . What is f(−3) ?

Oksanka [162]

Answer:

Step-by-step explanation:

Hello,

$f(x)=2|x|-3\\f(-3)=2|-3|-3=2*3-3=6-3=3$

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3 years ago

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How to solve : 16=2t + 0.25 t``squar

Marysya12 [62]

Answer:

The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).

Step-by-step explanation:

We have to solve the given quadratic equation of single variable t.

The equation is 16 = 2t + 0.25t²

⇒ 0.25t² + 2t - 16 = 0

⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}

⇒ 25t² + 200t + 400 - 400 - 1600 = 0

⇒ (5t + 20)² - 2000 = 0

⇒ (5t + 20)² - (20√5)² = 0

⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0

So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0

⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0

⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)

8 0

3 years ago

Please help me if you can!

bazaltina [42]

Answer:

Step-by-step explanation:

We know that the sum of the measures of angles on one side of the parallelogram is 180°.

We have the equation:

(6x - 12) + (132 - x) = 180

6x - 12 + 132 - x = 180 <em>combine like terms</em>

(6x - x) + (-12 + 132) = 180

5x + 120 = 180 <em>subtract 120 from both sides</em>

5x = 60 <em>divide both sides by 5</em>

x = 12

Opposite angles in the parallelogram are congruent.

Therefore:

6y + 18 = 6x - 12

Put the value of x to the equation and solve it for y:

6y + 18 = 6(12) - 12

6y + 18 = 72 - 12

6y + 18 = 60 <em>subtract 18 from both sides</em>

6y = 42 <em>divide both sides by 6</em>

y = 7

7 0

3 years ago