Answer:
x^2 -6x + 222/25
Step-by-step explanation:
If the zeros are as above, then ;
x = 3-√3/5 or x = 3 + √3/5
Firstly, let’s represent √3/5 by b
Thus;
The two roots are ;
x = 3-b or x = 3 + b
so;
x+ b -3 and x -3-b
The quadratic equation is the product of the two
(x + b-3)(x - b -3)
x(x - b-3) + b(x -b -3) -3(x - b -3)
= x^2 -bx -3x + bx -b^2 -3b -3x + 3b + 9
Collect like terms and we are left with;
x^2 -6x -b^2 + 9
So let’s put back b = √3/5
x^2 -6x -(√3/5)^2 + 9
x^2 -6x -3/25 + 9
x^2 -6x + 222/25
-- Carefully cut <em>each bar into 6 equal pieces</em>.
There are (5 x 6) = 30 pieces all together.
Each piece is 1/6 of a bar.
-- Each child gets 5 of the pieces.
That's the same as <em>5/6 of a whole bar</em>.
(6 children) x (5 pieces) = 30 pieces. It works out. yay !
f(x) means the function of x
so the function is the input is x and the output is f(x), read "f of x". The output f(x) is sometimes given an additional name y by y = f(x). The example that comes to mind is the square root function on your calculator.
115% of the price is 270,25
115*x/100=270,25
x=270,25*100/115
x=235 $ is the price
270,25-235= 35,25 $ is the tax
