9n^4-24n^2+16=

Simple and best practice solution for 9n^4-24n^2+16= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9n^4-24n^2+16= equation:


Simplifying
9n4 + -24n2 + 16 = 0

Reorder the terms:
16 + -24n2 + 9n4 = 0

Solving
16 + -24n2 + 9n4 = 0

Solving for variable 'n'.

Factor a trinomial.
(4 + -3n2)(4 + -3n2) = 0

Subproblem 1

Set the factor '(4 + -3n2)' equal to zero and attempt to solve: Simplifying 4 + -3n2 = 0 Solving 4 + -3n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n2 = 0 + -4 -3n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3n2 = -4 Divide each side by '-3'. n2 = 1.333333333 Simplifying n2 = 1.333333333 Take the square root of each side: n = {-1.154700538, 1.154700538}

Subproblem 2

Set the factor '(4 + -3n2)' equal to zero and attempt to solve: Simplifying 4 + -3n2 = 0 Solving 4 + -3n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3n2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n2 = 0 + -4 -3n2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3n2 = -4 Divide each side by '-3'. n2 = 1.333333333 Simplifying n2 = 1.333333333 Take the square root of each side: n = {-1.154700538, 1.154700538}

Solution

n = {-1.154700538, 1.154700538, -1.154700538, 1.154700538}

See similar equations:

| n-14=8n+7 | | 5-(t+4)=-1+2(t-3) | | 4d+12=5d-8 | | S=-5t^2+18+8 | | -2x-108=8x+42 | | 2x-6=8+x+2 | | 8x-5x=21 | | 8/5b=5 | | 2(c+3)-5=6c-2(1+2c) | | 4y+13=5y+5 | | 126+(8x-2)=90 | | 6-7v=-6v-2 | | 4.5w=5 | | 8x-6(1)=6 | | -29-22= | | 28+6g=4g | | -4x=94 | | 4=2+-12 | | 126+(8x-2)=180 | | X^2-14=4x | | 2(x-1)+6x=4(0-1)+2 | | -9y-12+y=20 | | t+25=6 | | 3x+17=6x+3+8 | | y.18=21/63 | | 17.2=x+2 | | c/28=46/16 | | 5v^2+24v-36=0 | | 2(x-1)+6x=4(8-1)+2 | | (15x+1)+(10+12x)=90 | | -13u=12-11u | | -4n-6=-7+2n |

Equations solver categories