What are the solutions to the equation 10x^2-x^4-25=0 ?

The solutions to the equation 10x^2-x^4-25=0 are x=sqrt(5),x=-sqrt(5)

Find the zeros of 10x^2-x^4-25=0

The zeros of 10x^2-x^4-25=0 are x=sqrt(5),x=-sqrt(5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10 x^{2} - x^{4} - 25 = 0

x = 5, x = - 5

Decimal Notation

x = 2.23606 \dots, x = - 2.23606 \dots

Solution steps

10 x^{2} - x^{4} - 25 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- x^{4} + 10 x^{2} - 25 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

- u^{2} + 10 u - 25 = 0

Solve

- u^{2} + 10 u - 25 = 0 : u = 5

u = 5

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 5 : x = 5, x = - 5

The solutions are

x = 5, x = - 5

(x^{2} + 5 x + 25) (x - 5) - 5 = 86

x^{5} + 4 x + 1 = 0

z^{87} = 0

12 x^{4} - 4 x^{2} - 1 = 0

2 - x = x^{3}

What are the solutions to the equation 10x^2-x^4-25=0 ?
The solutions to the equation 10x^2-x^4-25=0 are x=sqrt(5),x=-sqrt(5)
Find the zeros of 10x^2-x^4-25=0
The zeros of 10x^2-x^4-25=0 are x=sqrt(5),x=-sqrt(5)