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Alenkasestr [34]
3 years ago
6

.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

The solutions of the equations are -1.3 and -7.7

Step-by-step explanation:

The quadratic formula of solving the quadratic equation

ax² + bx + c = 0, where a, b and c are constant is:

x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}

To solve the quadratic equation by using the quadratic formula

1. Find the values of a , b and c from the equation

2. Substitute the values of a , b and c in the quadratic formula

3. Find the two values of x

∵ x² + 9x + 10 = 0

∴ a = 1 , b = 9 and c = 10

∵ x=\frac{-9+\sqrt{(9)^{2}-4(1)(10)}}{2(1)}

∴ x=\frac{-9+\sqrt{81-40}}{2}

∴ x=\frac{-9+\sqrt{41}}{2}

∴ x = -1.3

∵ x=\frac{-9-\sqrt{(9)^{2}-4(1)(10)}}{2(1)}

∴ x=\frac{-9-\sqrt{81-40}}{2}

∴ x=\frac{-9-\sqrt{41}}{2}

∴ x = -7.7

The solutions of the equations are -1.3 and -7.7

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

#LearnwithBrainly

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If 15 actuators have failed today, what is the probability that a) at least 10 are repairable? b) from 3 to 8 are repairable? c)
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According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

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at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

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exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

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