Question

No.of integers satisfying the inequality x^4 - 29x^2 + 100 < or = 0

Answer 1

Solve x4-29x2+100 = 0

This equation is reducible to quadratic. What this means is that using a new variable, we can rewrite this equation as a quadratic equation Using w , such that w = x2 transforms the equation into :

w2-29w+100 = 0

Solving this new equation using the quadratic formula we get two real solutions :

25.0000 or 4.0000

Now that we know the value(s) of w , we can calculate x since x is √ w

Doing just this we discover that the solutions of

x4-29x2+100 = 0

are either :

x =√25.000 = 5.00000 or :

x =√25.000 = -5.00000 or :

x =√ 4.000 = 2.00000 or :

x =√ 4.000 = -2.00000