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3 years ago

Select the correct answer. What is one root of this equation? 2x^2-4x+9=0

Mathematics

1 answer:

12345 [234]3 years ago

8 0

3.34520787 would be the answer I believe.

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(2x^3+9x^2+x-12)/(x+4) simplify

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4}$

Write $9 {x}^{2}$ as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} + x - 12}{x + 4}$

Write X as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out $2 {x}^{2}$ from the expression

$\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out 11x from the expression

$\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}$

Factor out 12 from the expression

$\frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4}$

Factor out X - 1 from the expression

$\frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4}$

Write 11x as a sum

$\frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4}$

Factor out 2x from the expression

$\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}$

Factor out 3 from the expression

$\frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4}$

Factor out X + 4 from the expression

$\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}$

Reduce the fraction with X + 4

$(x - 1)(2x + 3)$

Multiply the parantheses

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

Collect like terms

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

Hope this helps...

Good luck on your assignment...

4 0

3 years ago

-(y + 2) + 8 = 3<br> I’m so confused on this, please send help

Hoochie [10]

Don't be worried friend :)

-(y + 2) + 8 = 3

=> -(y + 2) = -5

=> y + 2 = 5

=> y = 3

7 0

3 years ago

Matthew jogs 300 metres at 4m/s.<br> Work out how long it takes Matthew.

Aleks [24]

Answer:

75 seconds or 1 minute and 15 seconds

Step-by-step explanation:

300 meters/4 mps = 75 seconds

5 0

3 years ago

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B =<br> 5. What is the determinant of B?<br> A. -27<br> OB. 30<br> OC.-6<br> D.-30

Semenov [28]

Answer:

OPTION D is the correct answer

7 0

3 years ago

Molly records the interest earned in her savings account in the last 5 months. What are the mean, median, and mode of the data s

nikklg [1K]

Answer:

mean:0.33, median:0.37, mode:0.42

8 0

4 years ago

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