What are the solutions to the equation 6x^2-1/2 x-1/4 =0 ?

The solutions to the equation 6x^2-1/2 x-1/4 =0 are x= 1/4 ,x=-1/6

Find the zeros of 6x^2-1/2 x-1/4 =0

The zeros of 6x^2-1/2 x-1/4 =0 are x= 1/4 ,x=-1/6

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

x = \frac{1}{4}, x = - \frac{1}{6}

Decimal Notation

x = 0.25, x = - 0.16666 \dots

Solution steps

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

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

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

Simplify

24 x^{2} - 2 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 24 ( - 1 )}{2 \cdot 24}

(- 2)^{2} - 4 \cdot 24 (- 1) = 10

x_{1, 2} = \frac{- ( - 2 ) \pm 10}{2 \cdot 24}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 10}{2 \cdot 24}, x_{2} = \frac{- ( - 2 ) - 10}{2 \cdot 24}

x = \frac{- ( - 2 ) + 10}{2 \cdot 24} : \frac{1}{4}

x = \frac{- ( - 2 ) - 10}{2 \cdot 24} : - \frac{1}{6}

The solutions to the quadratic equation are:

x = \frac{1}{4}, x = - \frac{1}{6}

(\frac{x ^{- 8}}{y ^{11}})^{- 2}

- 3 - 2

x^{2} + 3 x - 24 = 0

20 x^{2} - 9 x - 20

0 \leq y \leq 4

What are the solutions to the equation 6x^2-1/2 x-1/4 =0 ?
The solutions to the equation 6x^2-1/2 x-1/4 =0 are x= 1/4 ,x=-1/6
Find the zeros of 6x^2-1/2 x-1/4 =0
The zeros of 6x^2-1/2 x-1/4 =0 are x= 1/4 ,x=-1/6