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:
c
Step-by-step explanation:
you have a calculator dont you?
Answer:
Step-by-step explanation:
A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.
4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6
Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:
4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.
Answer:
x > -3/7
Step-by-step explanation:
6x - 2(x + 2) > 2 - 3(x + 3)
Distribute the two and three inside the parenthesis.
6x - 2x - 4 > 2 - 3x - 9
Combine like terms.
4x - 4 > -3x - 7
Add 4 to both sides.
4x > -3x - 3
Add 3x to both sides.
7x > -3
Divide both sides by 7.
x > -3/7
I’m not sure maybe someone else will help