Look carefully at step 2.
2x^2- 6x+2=0 Divide all terms by 2:
x^2 - 3x + 1 = 0 Use the quadratic equation:
x1 = (3 + sqrt(3^2 - 4))/2 → 3/2 + sqrt(5)/2
x2 = (3 - sqrt(3^2 - 4))/2 → 3/2 - sqrt(5)/2
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As |x + 8| is always greater than zero it must also always be greater than -3. Hence the relation is true for all real numbers.
Hint:
5^3 = 125
(10^66)^3 = 10^198
16^(3/4) → (16^(1/4))^3 → 2^3 → 8
0.04^(-1/2) → 1/0.04^(1/2) → 1/0.2 → 5
I'll leave you to multiply these together.
No real solutions:
Using Pythagoras we have:
x^2 + (3x)^2 = 25^2
or: 10x^2 = 625
x = sqrt(62.5) → 7.906
The perimeter is now found from 4x + 25
Just type solve(5*y^2+10*y+4) into the calculator on the home page here and then press enter.
First find the mean: mean = (10.56 + 9.52 + 9.73 + 9.80 + 9.78 + 10.91)/6 → 10.05
Now find the absolute value of the deviations of each value from the mean:
|10.56 - 10.05| = 0.51
|9.52 - 10.05| = 0.53
|9.73 - 10.05| = 0.32
|9.80 - 10.05| = 0.25
|9.78 - 10.05| = 0.27
|10.91 - 10.05| = 0.86
The maximum absolute deviation is 0.86, so d = 0.86
I suspect you mean asin. Press the 2nd button first.