PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
First, we do the exponents.
5² - 4 · 6 + 11
= 25 - 4 · 6 + 11
Next, multiplication (according to PEMDAS).
= 25 - 24 + 11
Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.
= 25 - 24 + 11
= 1 + 11
Finally, addition.
= 12
This is your answer. Happy studying~
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
This is a cube root, so we look for factors of 162 which are perfect cubes.
Find the prime factors of 162:-
162 = 2 * 3 * 3 * 3* 3
27 = 3^3 is a perfect cube
162 = 6 * 27
so ^3√ 162 = ^3√6 * ^3√27 = ^3√6 * 3
so the simplest form is 3 ^3√6
Decimal moves towards right!
