Question

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve. x = plus-or-minus StartRoot 5 EndRoot and x = ±10 x = plus-or-minus i StartRoot 5 EndRoot and x = ±10i x = plus-or-minus StartRoot 5 EndRoot and x = ±10i x = plus-or-minus i StartRoot 5 EndRoot and x = ±10

Answer 1

Answer:

* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,

u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

u = 5, and y = - 100

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i

* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *