Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
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Answer:
If you meant median, the median would be the data in the middle.
Step-by-step explanation:
In this case, 1-2-3-4-5 (here) 6-7-8-9-10
5.5 would be in the middle because there is an even amount of numbers.
Answer:
y-y1=m(x-x1)
Step-by-step explanation:
Answer:
d. Two complex solutions
Step-by-step explanation:
We have been given a trinomial
and we are supposed to predict the type of solutions of our given trinomial.
We will use discriminant formula to solve for our given problem.
, where,
,
,

Conclusion from the result of Discriminant are:
Upon substituting our given values in above formula we will get,


Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.