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:
45
Step-by-step explanation:
3/4 of 60 would be:
= 3/4 * 60
= 3*60 / 4
= 180 / 4
= 45
Hope this help you :3
Answer:
48°
Step-by-step explanation:
m∠x plus 132° equals 180°, so x equals 180 minus 132, or 48°.
Step-by-step explanation:
59 2/73
or 59.02 as the answer
Answer: ![\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5B%5Cln%20%28x%2B1%29%2B%5Cln%28x-1%29%5D)
Step-by-step explanation:
Properties of logarithm :



The given expression in terms of Natural log : 
This will become
[ By using Property (3)]

[
]
[ By using Property (1)]
Hence, the simplified expression becomes
.