What are the solutions to the equation 6x^2=1-7x ?

The solutions to the equation 6x^2=1-7x are x=(-7+sqrt(73))/(12),x=(-7-sqrt(73))/(12)

Find the zeros of 6x^2=1-7x

The zeros of 6x^2=1-7x are x=(-7+sqrt(73))/(12),x=(-7-sqrt(73))/(12)

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6 x^{2} = 1 - 7 x

x = \frac{- 7 + 73}{12}, x = \frac{- 7 - 73}{12}

Decimal Notation

x = 0.12866 \dots, x = - 1.29533 \dots

Solution steps

6 x^{2} = 1 - 7 x

Move

7 x

to the left side

6 x^{2} + 7 x = 1

Move

1

to the left side

6 x^{2} + 7 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 6 ( - 1 )}{2 \cdot 6}

7^{2} - 4 \cdot 6 (- 1) = 73

x_{1, 2} = \frac{- 7 \pm 73}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- 7 + 73}{2 \cdot 6}, x_{2} = \frac{- 7 - 73}{2 \cdot 6}

x = \frac{- 7 + 73}{2 \cdot 6} : \frac{- 7 + 73}{12}

x = \frac{- 7 - 73}{2 \cdot 6} : \frac{- 7 - 73}{12}

The solutions to the quadratic equation are:

x = \frac{- 7 + 73}{12}, x = \frac{- 7 - 73}{12}

- 3 \geq 2 - 5 x^{7}

a^{2} + 12 a + 20

4 x + 8 \geq - 12 or 3 x + 8 > 11

5 x^{2} - 70 x = - 230

45 x - 0.9 x^{2} = \frac{( 562.5 )}{2}

What are the solutions to the equation 6x^2=1-7x ?
The solutions to the equation 6x^2=1-7x are x=(-7+sqrt(73))/(12),x=(-7-sqrt(73))/(12)
Find the zeros of 6x^2=1-7x
The zeros of 6x^2=1-7x are x=(-7+sqrt(73))/(12),x=(-7-sqrt(73))/(12)