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TiliK225 [7]
3 years ago
15

If 2x^2+2x=12, what is x?

Mathematics
2 answers:
Rainbow [258]3 years ago
5 0

Answer:

x= 2

x= -3

Step-by-step explanation:

<u>Solving as normal quadratic equation:</u>

  • 2x^2+2x=12
  • x^2 +x = 6
  • x^2 + x - 6= 0
  • x = (-1 ± √(1+4*1*6)/2
  • x = ( - 1 ± √25)/2
  • x = (-1 ± 5)/2
  • x= 2
  • x= -3

<u>Roots are</u> 2 and -3

Ber [7]3 years ago
3 0

Answer:

<h3>x = - 3 or x = 2</h3>

Step-by-step explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

<u>Write x as a difference</u>

That's

x² + 3x - 2x - 6 = 0

<u>Factor x out of the equation</u>

That's

x( x + 3) - 2x - 6 = 0

<u>Factor out - 2 from the expression</u>

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

<u>Factor out x + 3 from the expression</u>

That's

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

<h3>x + 3 = 0 x - 2 = 0</h3>

<h3>x = - 3 x = 2</h3>

Hope this helps you

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Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
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Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

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The answer is 0.7734

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