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3 years ago

Solve this equation for n.-5(4n - 2.4) + 2(1.3 + 6n) = -5.4

Mathematics

2 answers:

PIT_PIT [208]3 years ago

8 0

Hi there!

-5(4n - 2.4) + 2(1.3 + 6n) = -5.4

Distribute the coefficients outside of the parenthesis:

-5(4n) - 5(-2.4) + 2(1.3) + 2(6n) = -5.4

-20n + 12 + 2.6 + 12n = -5.4

Combine like terms:

-8n + 14.6 = -5.4

Subtract 14.6 from both sides:

-8n = -20

Divide both sides by -8:

-8n/(-8) = -20/(-8)

n = 2.5

DIA [1.3K]3 years ago

6 0

Answer:

n = 2.5

Step-by-step explanation:

distribute

-20n + 12 + 2.6 + 12n = -5.4

combine terms

-8n + 14.6 = -5.4

subtract 14.6 from both sides

-8n = -20

divide by -8

n = 2.5

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Select the two values of x that are roots of this equation x^2-5x+2=0

Nataly [62]

The roots of the equation is x = 4.56 OR x = 0.44

<h3>Quadratic equation</h3>

From the question, we are to determine the roots of the given equation

The given equation is

x² -5x +2 = 0

Using the formula method,

$x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}$

In the given equation,

a = 1, b = -5, c = 2

Putting the values into the formula,

$x =\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(2) } }{2(1)}$

$x =\frac{5 \pm \sqrt{25-8} }{2}$

$x =\frac{5 \pm \sqrt{17} }{2}$

$x =\frac{5 + \sqrt{17} }{2}$ OR $x =\frac{5 - \sqrt{17} }{2}$

$x =\frac{5 + 4.12}{2}$ OR $x =\frac{5 - 4.12}{2}$

$x =\frac{9.12}{2}$ OR $x =\frac{0.88}{2}$

x = 4.56 OR x = 0.44

Hence, the roots of the equation is x = 4.56 OR x = 0.44

Learn more on Quadratic equation here: brainly.com/question/8649555

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2 years ago

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$\bf \begin{array}{ccll}
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Answer:

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Step-by-step explanation:

First, move all the terms that do not include b to the left side with S:

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S - 2ac = 2ab + 2bc

Now, factor out 2b from the right side:

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Divide both sides by 2(a + c):

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Finally, multiply out the denominator:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Solve this equation for n.-5(4n - 2.4) + 2(1.3 + 6n) = -5.4​

Solve this equation for n.-5(4n - 2.4) + 2(1.3 + 6n) = -5.4