Question

x^4 - 5x^2 -14 = 0 now substitute u = x^2 to solve for x

Answer 1

X^4 - 5X^2 -14= 0
Let U = X^2. This a "dummy variable" substitution. We get
U^2 - 5U -14 = 0.
We apply the quadratic to get
U = (5 +- sqrt(25+56))/2
U = (5 +- sqrt(81))/2.
We resubstitute X^2 for U and get
X^2 = (5 +- sqrt(81))/2.
X = +-sqrt((5 +-9)/2).
X = +-sqrt((5 +9)/2) or X = +-sqrt((5 -9)/2)
X = +-sqrt((14)/2) or X = +-sqrt((-4)/2)These are both real solutions.

Answer 2

Nurali you are a great help thank you

Answer 3

Anytime.

Answer 4

Welcome to Openstudy

Answer 5

Thank you

Answer 6

Anytime.