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Numerical Ability
Quadratic Equations
If x^2-16>0, which of the following must be true?
a)-4>x>4
b)-4>x
Read Solution (Total 16)
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- X^2 - 16 > 0
So We have to take X above 4 and below -4...
Ans is -4>x and 4 - 12 years agoHelpfull: Yes(17) No(1)
- a^2-b^2=(a+b)(a-b)
(x^2-4^2)=(x-4)(x+4)
so x=-4,4
so value of x can be 4 and -4,so value lying between these two,so a)-4>x>4 is true(ans) - 12 years agoHelpfull: Yes(16) No(27)
- X^2-16>0
X^2>16.
X SHOULD BE ABOVE 4
QUESTION IS WRONG - 12 years agoHelpfull: Yes(6) No(1)
- x^2-16>0
=> (x+4)(x-4) >0
2 cases arises
1.either 2 nos will be +,den der multiplication will b >0
2.or 2 nos will be -ve,den also der multiplication will b >0
so,
either(x+4)>0 and (x-4)>0
or;(x+4)x - 12 years agoHelpfull: Yes(2) No(1)
- x^2-16>0
so x must be less than -4 and x has to be greater than +4 to satisfy the given equation.. - 12 years agoHelpfull: Yes(2) No(1)
- sry d ans z nt gng..
from d abv we can know x will lie in between
-4>x - 12 years agoHelpfull: Yes(1) No(2)
- x^2-16>0
x^2>16
x>sqrt(16)
x>=4 or -4
so,
x>4 or x - 8 years agoHelpfull: Yes(1) No(0)
- [sanjana]
x^2-16>0
=> (x+4)(x-4) >0
2 cases arises
1.either 2 nos will be +,den der multiplication will b >0
2.or 2 nos will be -ve,den also der multiplication will b >0
so,
either(x+4)>0 and (x-4)>0
or;(x+4) - 12 years agoHelpfull: Yes(0) No(4)
- it should be -4>x>4..
lets us take x=+5 or -5
then x^2-16=25-16=9>0(condition satisfied)
now +5>4 and -54 and xx>4.
9a0 is correct.
- 12 years agoHelpfull: Yes(0) No(2)
- if there is and option like -4>x>4
- 10 years agoHelpfull: Yes(0) No(1)
- i think ans is -4>x
- 10 years agoHelpfull: Yes(0) No(1)
- this question is wrong. x should be more than 4 to be greater than 0. i.e, suppose x is more than -4 and less than 4. suppose it is 3 then x^2 =9 which is less than 4^2 in this case the ans will not satisfy x^2-6>0 ans suppose x is more than 4. x is 5 then this relation will satisfy as
X^2-16>0 when x is=5
- 9 years agoHelpfull: Yes(0) No(0)
- -4>x>4..as x should be less than -4..ie.-5,-6,-7...and x should be greater then 4 ie 5,6,7....
- 9 years agoHelpfull: Yes(0) No(0)
- x> + - 4
then if x >4
it is obvious dat x> -4
mi r8??
- 9 years agoHelpfull: Yes(0) No(0)
- a^2-b^2=(a+b)(a-b)
(x^2-4^2)=(x-4)(x+4)
so x=-4,4
1) is true
- 8 years agoHelpfull: Yes(0) No(0)
- x^2-16>0
(x-4)(x+4)>0
hence, x4 - 7 years agoHelpfull: Yes(0) No(0)
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