What are the solutions to the equation x^4-5x^24=0 ?

The solutions to the equation x^4-5x^24=0 are x=2sqrt(5),x=-2sqrt(5),x=0

Find the zeros of x^4-5x^24=0

The zeros of x^4-5x^24=0 are x=2sqrt(5),x=-2sqrt(5),x=0

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

x = 25, x = - 25, x = 0

Decimal Notation

x = 4.47213 \dots, x = - 4.47213 \dots, x = 0

Solution steps

x^{4} - 5 x^{2} \cdot 4 = 0

Expand

x^{4} - 5 x^{2} \cdot 4 : x^{4} - 20 x^{2}

x^{4} - 20 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 20 u = 0

Solve

u^{2} - 20 u = 0 : u = 20, u = 0

u = 20, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 20 : x = 25, x = - 25

Solve

x^{2} = 0 : x = 0

The solutions are

x = 25, x = - 25, x = 0

V = \frac{4}{3} π r^{3}, r

(x^{3} - 1) (x^{5} - 1) = 0

\frac{2 x ^{4} - 1}{8} = 0

y^{3} - 3 = 1

(x^{2} + 4)^{2} - 13 (x^{2} + 4) + 40 = 0

What are the solutions to the equation x^4-5x^24=0 ?
The solutions to the equation x^4-5x^24=0 are x=2sqrt(5),x=-2sqrt(5),x=0
Find the zeros of x^4-5x^24=0
The zeros of x^4-5x^24=0 are x=2sqrt(5),x=-2sqrt(5),x=0