What are the solutions to the equation 16w^4-49w^2=0 ?

The solutions to the equation 16w^4-49w^2=0 are w= 7/4 ,w=-7/4 ,w=0

Find the zeros of 16w^4-49w^2=0

The zeros of 16w^4-49w^2=0 are w= 7/4 ,w=-7/4 ,w=0

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16 w^{4} - 49 w^{2} = 0

w = \frac{7}{4}, w = - \frac{7}{4}, w = 0

Decimal

w = 1.75, w = - 1.75, w = 0

Solution steps

16 w^{4} - 49 w^{2} = 0

Rewrite the equation with

u = w^{2}

and

u^{2} = w^{4}

16 u^{2} - 49 u = 0

Solve

16 u^{2} - 49 u = 0 : u = \frac{49}{16}, u = 0

u = \frac{49}{16}, u = 0

Substitute back

u = w^{2},

solve for

w

Solve

w^{2} = \frac{49}{16} : w = \frac{7}{4}, w = - \frac{7}{4}

Solve

w^{2} = 0 : w = 0

The solutions are

w = \frac{7}{4}, w = - \frac{7}{4}, w = 0

x = 2 + (3 x^{5} - 2) - (3 + 3 x^{2})

x^{3} - 7 x^{2} + 12 x = 0

(3 x - 2) (x^{2} - 5) = 0

x^{3} - 4 x^{2} + 9 x - 10 = 0

z^{6} - 2 i = 0

What are the solutions to the equation 16w^4-49w^2=0 ?
The solutions to the equation 16w^4-49w^2=0 are w= 7/4 ,w=-7/4 ,w=0
Find the zeros of 16w^4-49w^2=0
The zeros of 16w^4-49w^2=0 are w= 7/4 ,w=-7/4 ,w=0