What are the solutions to the equation x^2-1/3 x+1/36 =0 ?

The solutions to the equation x^2-1/3 x+1/36 =0 are x= 1/6

Find the zeros of x^2-1/3 x+1/36 =0

The zeros of x^2-1/3 x+1/36 =0 are x= 1/6

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x^{2} - \frac{1}{3} x + \frac{1}{36} = 0

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

x^{2} - \frac{1}{3} x + \frac{1}{36} = 0

Find Least Common Multiplier of

3, 36 : 36

Multiply by LCM=

36

x^{2} \cdot 36 - \frac{1}{3} x \cdot 36 + \frac{1}{36} \cdot 36 = 0 \cdot 36

Simplify

36 x^{2} - 12 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 36 \cdot 1}{2 \cdot 36}

(- 12)^{2} - 4 \cdot 36 \cdot 1 = 0

x_{1, 2} = \frac{- ( - 12 ) \pm 0}{2 \cdot 36}

x = \frac{- ( - 12 )}{2 \cdot 36}

\frac{- ( - 12 )}{2 \cdot 36} = \frac{1}{6}

x = \frac{1}{6}

The solution to the quadratic equation is:

x = \frac{1}{6}

(1 + \frac{0.1}{2})^{2} - 1

2 x + 3 + 7 x = - 24

36.1 = 117.4 - 4.5 \cdot (15.36 - X)

\frac{k}{8} = 4

4 - 3 ∣ x + 8 ∣ = - 2

What are the solutions to the equation x^2-1/3 x+1/36 =0 ?
The solutions to the equation x^2-1/3 x+1/36 =0 are x= 1/6
Find the zeros of x^2-1/3 x+1/36 =0
The zeros of x^2-1/3 x+1/36 =0 are x= 1/6