SOLUTION: Please help me solve this:
Given {{{ f(x)= 2(x-3)(x+2)^2+2(x+2)(x-3)^3 }}}
show that {{{ x^2-5x+11>0 }}} for all integers x.
Algebra.Com
Question 516980: Please help me solve this:
Given
show that for all integers x.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The "given" part is rather pointless, because we can prove that statement for all integers x without it.
The roots of the quadratic equation are:
}}{4})
This is a complex number, so the quadratic has no real roots. This means that the function is either all positive or all negative. Since the x^2 coefficient is positive, the entire function must be positive (since it opens upward and a quadratic having any negative values would be bounded by the x-axis).
RELATED QUESTIONS
Please help me solve this:-
Given {{{ f(x)= 2(x-3)(x+2)^2+2(x+2)(x-3)^3 }}}... (answered by mananth)
f(x)= -1/3x^2
y^2=3/7+5/2
x^2+3x-5=0
f(x)=2x^2-16x+35
solve to three deciml... (answered by richard1234)
Please help me solve this eqation fully for x:... (answered by edjones)
Please help me solve this equation: show me how to calculate
x^1+x^2+x^3=0... (answered by Alan3354)
Could someone please please help me with this:
f(x)= (x²-1)(x-1).
1.Show why... (answered by Edwin McCravy)
Please help me find the remaining zeros of f(x)= 2x^3+x^2-5x+2 given that x=-2 is a zero... (answered by josgarithmetic)
Please help me solve this equation {{{f(x)=(x^2-x-12)/(x-2)}}}
Find: (x+3)(x-4)/x-2... (answered by longjonsilver)
x^(2/3) - x^(1/3) - 12=0 Solve for x, show all steps... (answered by Fombitz)
Given f (x)= x+3 and g (x)= 2x^2, please help me find?
f(-2) (answered by luke94)