# Math

posted by .

What does it mean by:
Show that the "value of 3x^2-6x+5" cannot be less than 1. ?

• Math -

show the opposite: the value is <1

3x^2-6x+5<1
3x^2-6x+4<0

x= (6+-sqrt(36-48))/6

well the serd here is imaginary. So the assumption of being less than one is false.

## Similar Questions

1. ### geometric mean

The geometric mean of two postitive numbers a and b is sqrt(ab). Show that for f(x) = 1/x on any interval [a,b] of positive numbers, the value of c in the conclusion of the mean value theorem is c = sqrt(ab) I have no idea how to do …
2. ### calculus

Let f(x) = (x+1)/(x-1). Show that there are no vlue of c such that f(2)-f(0) =f'(c)(2-0). Why does this not contradict the Mean Value Theorem?
3. ### CALCULUS!

suppose that 3 <_ f prime of x <_ 5, for all values x. show that 18<_ f(8)-f(2) <_ 30 <_ signs mean less or equal to... im supposed to apply mean value theorem or rolle's theorem... i don't understand neither so i cant …
4. ### stats

Consider an infinite population with 25% of the elements having the value 1, 25% the value 2, 25% the value 3, and 25% the value 4. If X is the value of a randomly selected item, then X is a discrete random variable whose possible …
5. ### calc

Use the Mean Value Theorem to show: -x < sinx < x for all x > 0 (and where I have the inequalities, it's supposed to be less than or equal to for the first two and greater than or equal to for the last one, I just didn't know …
6. ### Chemistry

When pH Value less than 0 or negative value ,it mean what?
7. ### nicole

1. determine the exact value.. cot 7pi/6 and sec(-210degrees) 2. determine approximate measure of all angels that satisfy following, and draw a sketch to show the quadrants involved cosTHETA = -0.77, -pi lessOr same than theta less …
8. ### Math

which letter on the number line show a value less than 3/5?
9. ### Calculus

show that ((x − 1)/x) <( ln x) < (x − 1) for all x>1 Hint: try to apply the Mean Value Theorem to the functions f(x) = lnx and g(x) = xlnx. I'm having trouble applying the mean value theorem
10. ### Calculus

Let f(x)=αx^2+βx+γ be a quadratic function, so α≠0, and let I=[a,b]. a) Check f satisfies the hypothesis of the Mean Value Theorem. b)Show that the number c ∈ (a,b) in the Mean Value Theorem is the midpoint of the interval …

More Similar Questions