# Calculus

posted by .

solve
|x2-x+1|>3

• Calculus -

x^2 - x + 1 > 3
or
-x^2 + x - 1 > 3

case 1:
x^2 -x - 2 > 0
(x-2)(x+1) > 0
critical values are -1 and 2
(if we look at the parabola y = x^2 - x - 2, the x-intercepts are -1 and 2 and we want all values above the x-axis)
so x < -1 OR x > 2

case 2:
x^2 -x + 4 < 0
the corresponding equation x^2 - x + 4 = 0 has no real roots, so no value of x satisfies our inequation.

so x < -1 OR x > 2

## Similar Questions

1. ### Calculus

How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y + 2 )^5 = 8 ( y + 2 )^5 d/dx (x) + x d/dx(y+2)^5=d/dx 8 (y+2)^5 + 5x(y+2)^4 dy/dx=0 solve for dx/dy (Broken Link Removed) I assume you want dy/dx. Differentiate …
2. ### calculus

I am suposed to apply L'Hospitals rule to solve. I can't seem to solve it tho. could someone explain the steps to me?
3. ### math-calculus

solve 3|x-8|=2x+7 i not get how to solve this the 3 infront of absolute value bracket confusing me.
4. ### COLLEGE CALCULUS. HELP!

the fundamental theorem of calculus, f(x)=∫(0,x) t^3+2t^2+ 2 dt, and find f"(x). my answer was: f'(x)=x^3+x^2 f"(x)=3x^2+2x it said its wrong. i don't know how solve with interval, ∫(0,x)
5. ### Calculus

I was able to solve (e), this is the only one I don't get. Determine whether the series is convergent or divergent and say what test you used to solve it. (d) sum n=1 to infinity (5n)^(3n) / (5^n + 3)^n
6. ### Pre calculus

How do I solve this exponent problem? I understand the exponent rules, but I getting 1 but 1 is not the answer! I don't want anyone to solve the problem for me, I want to learn how to solve this type of problem. Thank you! Solve the
7. ### Calculus

solve for dv/du dQ/du= 38u + [(u+v)^2(18+19dv/du) -(2(18u+19v)(u+v)(1+dv/du)]/ (u+v)^4 u=10 v=25 I am confused how u solve for the dv/du in this big equation and reducing and stuff like that thanks!! this is about implicit di
8. ### Calculus

Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II?
9. ### Calculus math

how do i solve these quadratics? c=10000 9a+3b+c=7975 36a+6b+c=6400 im unsure of how to solve as a and b are unknowns...
10. ### Help! Calculus

I am so confused on how to solve this problem. I have it set up with y's on one side and x's on the other but I don't know what to do from there. Question: Solve the differential equation. The initial condition is y(0) = 1. ((x^2+1)^(1/2))(dy/dx) …

More Similar Questions