Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

Mathematics

1 answer:

UNO [17]3 years ago

4 0

The solution set is $\{-5,5\}$

Explanation:

The given equation is $a^{2}-3=22$

To determine the solution set of the equation, let us solve the equation.

Adding both sides of the equation by 3, we have,

$a^2=25$

Taking square root on both sides of the equation, we get,

$a=\sqrt{25}, a=-\sqrt{25}$

$a=5, a=-5$

Thus, the solution of the equation is $a=5, a=-5$

The solution set of the equation is the set which contains all the solutions of the equations.

Thus, writing the solutions of the equation using set notation, we have,

$\{-5,5\}$

Thus, the solution set is $\{-5,5\}$

You might be interested in

If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (

exis [7]

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

7 0

3 years ago

(2 * 10^-2) +(9*10^-3)<br> Please before Wednesday

anzhelika [568]

Answer:

try symnolab it helps a lot with math but the answer is 29/1000 0r 0.029

Step-by-step explanation: Hopes this helps :)