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Triss [41]
3 years ago
13

What are the roots of x in - 10x2 + 12x - 9 = 0?​

Mathematics
2 answers:
Leya [2.2K]3 years ago
8 0

Answer:

Thus, The two roots of  the given quadratic equation are : x = 0.5225 or x = -1.7225  

Step-by-step explanation:

The quadratic equation is given to be :

10x² + 12x - 9 = 0

A = 10 , B = 12 , C = 9

Now, using the discriminant rule :

x=\frac{-B\pm\sqrt{B^2-4AC}}{2A}\\\\\implies x=\frac{-12\pm\sqrt{144+360}}{20}\\\\ \implies x =\frac{-12\pm 22.45}{20}

So, x = 0.5225 or x = -1.7225

Thus, The two roots of  the given quadratic equation are : x = 0.5225 or x = -1.7225

ivann1987 [24]3 years ago
3 0

SORRY FOR CUTTING AND HANDWRITING

HOPE THIS WILL HELP YOU

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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
wlad13 [49]

Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

Number of people using pool and track (P∩T) = 9

Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

                 = \frac{1}{135}(73+59+31-19-9-16+4)

                 = \frac{123}{135}

And probability that a person doesn't use any facility = 1 - P(GUPUT)

= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

= \frac{4}{45} ≈ 0.0889

7 0
4 years ago
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Step-by-step explanation:

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Answer:

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