Thats like geometry
and are you good in this suject?
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now
2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4
At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.
Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.
For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196
No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.
So x^2 = -4 has no real solutions. Taking the square root of both sides leads to
x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values
-15 and -42 both add to -57 and multiply to 630
The pattern:
So it goes, 1, 2, 3, as the first number in each equation right.
Then it goes 4,5,6 as the second number in each equation.
<span>In other words, the first number + 3 = the second number
</span>
The sum or 3rd number is a zig zag pattern from the first and second numbers as shown below.
1 2 3 4 5 6 <span>7 </span>8 9
4 <span>5 </span>6 7 8 9 10 11 <span>12
</span>
1 * 5 = 5, 2 * 6 = 12, 3 * 7 = 21 .... 8 * 12 = 96
<span>So the answer of </span><span>8+11=96</span>
Total number of blue candies = 20 + 30 = 50
Number of blue candies without nut = 20
Probability of picking a blue candy without a nut = (Number of blue candies with nut) /(Total number of blue candies)
So, Probability of picking a blue candy without a nut =
%
Thus, the correct answer is option A
