may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^

Question

2 years ago

13

2+128

1 answer:

koban [17] · Answer 1 · 2022-09-18T02:00:20+03:00

koban [17]2 years ago

8 0

Answer:

$x=2\sqrt{2}$ , $x=-2\sqrt{2}$ , $x=4i$ , $x=-4i$

Step-by-step explanation:

$x^4+11x^2=3x^2+128$

First, we subtract 128 from both sides:

$x^4+11x^2-128=3x^2$

Then, we subtract $3x^2$ from both sides:

$x^4+8x^2-128=0$

Rewrite the equation:

$u^2+8u-128=0$

Insert and solve:

$u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i$

Please give Brainliest