Find the roots
solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625
the roots are x=0.75+√2.5625 and x=0.75-√2.5625
1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)
if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4
x²+0.75x-0.5 is answer
Answer:
$435.3
Step-by-step explanation:
Assuming simple interest
Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage
For $3500, the interest will be 3500*2.2/100=$77
From total target of $151, the person is less 151-77=$74
Taking x as principal and rate of interest as 17% then
0.17x=74
X=74/0.17=$435.2941176470
Rounded off as $435.3
I believe your answer is C. But I’m not completely sure!
Answer:
10
or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x 
So the length of diagonal is 14.14 approximately
You need an equation system.
First, translate the text into equations :
y = total price for the bike
x = number of months
first bike :
y = 25x + 500
second bike :
y = 50x + 200
Then you have to solve the system by placing the two equations side by side and comparing them.
25x + 500 = 50x + 200
Solve to find the value of x