What are the solutions to the equation x^4+5=6x^2 ?

The solutions to the equation x^4+5=6x^2 are x=sqrt(5),x=-sqrt(5),x=1,x=-1

Find the zeros of x^4+5=6x^2

The zeros of x^4+5=6x^2 are x=sqrt(5),x=-sqrt(5),x=1,x=-1

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x^{4} + 5 = 6 x^{2}

x = 5, x = - 5, x = 1, x = - 1

Decimal Notation

x = 2.23606 \dots, x = - 2.23606 \dots, x = 1, x = - 1

Solution steps

x^{4} + 5 = 6 x^{2}

Move

6 x^{2}

to the left side

x^{4} + 5 - 6 x^{2} = 0

Write in the standard form

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

x^{4} - 6 x^{2} + 5 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 6 u + 5 = 0

Solve

u^{2} - 6 u + 5 = 0 : u = 5, u = 1

u = 5, u = 1

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

x^{2} = 1 : x = 1, x = - 1

The solutions are

x = 5, x = - 5, x = 1, x = - 1

- 0.2 x^{3} + x + 4 = 0

x^{3} - 17 x + 29 = 0

x - \cdot x^{4} = x^{12}

x^{3} - 13 x^{2} = 0

m^{5} - 2 m^{4} - m + 2 = 0

What are the solutions to the equation x^4+5=6x^2 ?
The solutions to the equation x^4+5=6x^2 are x=sqrt(5),x=-sqrt(5),x=1,x=-1
Find the zeros of x^4+5=6x^2
The zeros of x^4+5=6x^2 are x=sqrt(5),x=-sqrt(5),x=1,x=-1