Answer:
<em>* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>
Step-by-step explanation:
Through factorization;
x^4 + 95x^2 – 500 = 0, ⇒ <em>u^2 ⇒ x^2</em>,
u^2 + 95u - 500 = 0, ⇒<em> factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...</em>
( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,
( u - 5 )( u + 100 ) = 0,
<em>u = 5, and y = - 100</em>
Substitute u back into format x^2;
u = x^2, 5 = x^2, | x | = √5 ⇒ <em>x = - / + √5,</em>
u = x^2, - 100 = x^2, | x | = √- 100 ⇒ <em>x = - / + 10i</em>
<em>* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *</em>
