2 years ago

Find the value of x.

Mathematics

1 answer:

dolphi86 [110]2 years ago

4 0

Answer: 10

Step-by-step explanation:

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Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.

vlabodo [156]

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

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

Substituting into the equation, we have;

$x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1}$

$x = \frac {43 \pm \sqrt {1849 - 1224}}{2}$

$x = \frac {43 \pm \sqrt {625}}{2}$

$x = \frac {43 \pm 25}{2}$

$x_{1} = \frac {43 + 25}{2}$

$x_{1} = \frac {68}{2}$

$x_{1} = 39$

$x_{2} = \frac {43 - 25}{2}$

$x_{2} = \frac {18}{2}$

$x_{2} = 9$

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

4 0

2 years ago

1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20

Salsk061 [2.6K]

Answer:

1a 2a

Step-by-step explanation:

n × (−2+5 ) = −8+20

n × 3 = 12

n = 4

2 + (n+6) = −1+6

n + 8 = 5

n = -3

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2 years ago

WILL GIVE BRAINLIEST HELP PLEASE

vovangra [49]

Hello,
Pease, see the attached file.
Thanks.

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2 years ago

Carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have

Tasya [4]

1064 x

________

20216 legos

Sharon has 20216 legos

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2 years ago

Who can answer this??

Juliette [100K]

The answer is B.

Since it’s a negative x, the line should go down from left to right and cross the origin.

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2 years ago