What are the solutions to the equation x^2+1/4 x+1/64 =0 ?

The solutions to the equation x^2+1/4 x+1/64 =0 are x=-1/8

Find the zeros of x^2+1/4 x+1/64 =0

The zeros of x^2+1/4 x+1/64 =0 are x=-1/8

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x^{2} + \frac{1}{4} x + \frac{1}{64} = 0

x = - \frac{1}{8}

Decimal Notation

x = - 0.125

Solution steps

x^{2} + \frac{1}{4} x + \frac{1}{64} = 0

Find Least Common Multiplier of

4, 64 : 64

Multiply by LCM=

64

x^{2} \cdot 64 + \frac{1}{4} x \cdot 64 + \frac{1}{64} \cdot 64 = 0 \cdot 64

Simplify

64 x^{2} + 16 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 64 \cdot 1}{2 \cdot 64}

1 6^{2} - 4 \cdot 64 \cdot 1 = 0

x_{1, 2} = \frac{- 16 \pm 0}{2 \cdot 64}

x = \frac{- 16}{2 \cdot 64}

\frac{- 16}{2 \cdot 64} = - \frac{1}{8}

x = - \frac{1}{8}

The solution to the quadratic equation is:

x = - \frac{1}{8}

ln (e^{e})

x^{4} - 4 x^{3} + 7 x^{2} - 12 x + 12

10 x^{2} + 17 x - 20 = 0

3 x^{3} y^{2} + 9 x^{2} y^{2} - 18 x y^{2}

r^{2} - 24 r + 144 = 0

What are the solutions to the equation x^2+1/4 x+1/64 =0 ?
The solutions to the equation x^2+1/4 x+1/64 =0 are x=-1/8
Find the zeros of x^2+1/4 x+1/64 =0
The zeros of x^2+1/4 x+1/64 =0 are x=-1/8