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Amanda [17]
3 years ago
8

Solve 2x^2 + x - 4 = 0 X2 +

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer:

\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

Step-by-step explanation:

Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Solve for x.
konstantin123 [22]

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

\frac{x}{15}=\:\frac{12}{20}

Cross Multiply the expression

\:20\times x=12\times 15

Divide both sides by 20

\frac{20x }{20}=\frac{180}{20}

x=9

Therefore, the value of x = 9

5 0
3 years ago
Select the correct answer. Which expression is equivalent to this polynomial? 15x − 24 A. 5(3x − 8) B. 3(5x − 5) C. 3(5x − 24) D
Scilla [17]

15x-24

the answer is not B because 3*-5= -15, we need -24

the answer is not C because 3*-24= -72

the answer is not A because 5*8= 40

Answer :

D. 3(5x − 8)

(3)(5x)(3)(-8)

15x-24= 15x-24

6 0
3 years ago
Read 2 more answers
Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
tatiyna

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * e^{-x}

Assuming x = -2, we'd have:

100 * 2.7182^{-2}

= 271.82^{-2}

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

#SPJ1

6 0
1 year ago
Hey salesman needed to settle for Willie he priced at $3500 the first day it was on the market the second he reduced it by 10% w
nataly862011 [7]

Answer:

The price of the four wheeler after with the reduction is $3,150.

Step-by-step explanation:

The original price of the Willa = $3500

The reduction percentage = 10%

Now, 10% of $ 3500 = \frac{10}{100}  \times 3500 = 350

So, the reduction amount is $350.

So, the reduced price of Willa = The original price - The reduced price

= $3500 - $350.  = $3,150.

Hence,  price of the four wheeler after with the reduction is $3,150.

5 0
3 years ago
Hey can you guys please confirm my answer, i got B
Nitella [24]
B is correct since there is one output for every input !!


have a great day :))
4 0
2 years ago
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