Answer: 2 rational solutions
Step-by-step explanation:
When the discriminant, b² + 2a, is greater than 0, there are two real solutions. 49 is the perfect square of 7, so the solutions are also rational: plus and minus 7
Step-by-step explanation:
First, count the total number of the boxes from the figure. This can be done easily by counting the number of the rows and then the number of the columns and multiplying the numbers.
=> 10 x 10 = 100 boxes.
Now, count the shaded boxes. It's 8.
Now, we calculate percentage by,
=> Selected boxes/Total boxes x 100
Putting the values,
=> 8/100 x 100
=> 8%
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
52.7 ÷ 4.25 = 12.4
Hope that helps ....
The solutions of the equation
² - 16 = 0is 4/3 and -4/3 and that of the equation
is 8 and -4.
Solving the both quadratic equations by extracting square roots:

⇒
∴ On taking square-root of both sides, we get
= 
⇒
and 
⇒
= 4/3 and
= -4/3
For the equation,
, the solution is:

⇒ 
∴ On taking square-root of both sides, we get

⇒ (z - 2) = 6 and (z - 2) = -6
⇒ z = 6 +2 and z = -6 + 2
⇒ z = 8 and z = -4
The solution of the equation
is 4/3 and -4/3.
The solution of the equation
is 8 and -4.
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If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
P(E) = P(E1) + P(E2) + ...