Question

What is the value of (-5)-⁴​

Answer 1

$\huge\sf\fbox\red{AnsWer}$

the equation is equal to zero at,

x = -3, 1/2, 1 and 5

On the number line

< ————(-3)————(1/2)——(1)————(5)——— >

These divide the whole domain in 5 parts,

Part 1: (-∞,-3) | Negative | Satisfies

Part 2: (-3,1/2) | Positive | Does not Satisfy

Part 3: (1/2,1) | Negative | Satisfies

Part 4: (1,5) | Positive | Does not Satisfy

Part 5: (5,∞) | Positive | Does not Satisfy

Therefore,

x ∈ (-∞,-3) U (1/2,1) Ans