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ch4aika [34]
4 years ago
13

Quadrato equationx²+5x+6=0​

Mathematics
2 answers:
Mars2501 [29]4 years ago
8 0

Answer:

x = - 3, x = - 2

Step-by-step explanation:

Given

x² + 5x + 6 = 0

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2, since

3 × 2 = + 6 and 3 + 2 = + 5, thus

(x + 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 2 = 0 ⇒ x = - 2

Lapatulllka [165]4 years ago
8 0

Answer:

x= -2 or -3

Step-by-step explanation:

First, you find the two factors that can replace +5 to enable you to factorize. To do this, you find the factors of +6 and check the factors that when added would give +5.

The factors are +2 and +3

x²+ 5x+6=0

x²+2x+3x+6=0

x(x+2)+3(x+2)=0

(x+2)(x+3)=0

x+2=0                 or                 x+3=0

x= -2                   or                 x= -3

∴x= -2 or -3

Hope this helps!!!

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Step-by-step explanation:

This is quite simple.

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Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

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