Hey there!
The answer to your question is 6.
To solve this equation when t = 1, we can simply plug t into the equation.
3 x 2(1)
3 x 2
5
Hope this helps your assignment! Have a great day! Good luck!
(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a.
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2
So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2
That easy just divide 9 by 22 if need simplify it