What are the solutions to the equation solvefor x,7x^2-x=7 ?

The solutions to the equation solvefor x,7x^2-x=7 are x=(1+sqrt(197))/(14),x=(1-sqrt(197))/(14)

Find the zeros of solvefor x,7x^2-x=7

The zeros of solvefor x,7x^2-x=7 are x=(1+sqrt(197))/(14),x=(1-sqrt(197))/(14)

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x, 7 x^{2} - x = 7

x = \frac{1 + 197}{14}, x = \frac{1 - 197}{14}

Decimal Notation

x = 1.07397 \dots, x = - 0.93111 \dots

Solution steps

7 x^{2} - x = 7

Move

7

to the left side

7 x^{2} - x - 7 = 0

Solve with the quadratic formula

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

(- 1)^{2} - 4 \cdot 7 (- 7) = 197

x_{1, 2} = \frac{- ( - 1 ) \pm 197}{2 \cdot 7}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 197}{2 \cdot 7}, x_{2} = \frac{- ( - 1 ) - 197}{2 \cdot 7}

x = \frac{- ( - 1 ) + 197}{2 \cdot 7} : \frac{1 + 197}{14}

x = \frac{- ( - 1 ) - 197}{2 \cdot 7} : \frac{1 - 197}{14}

The solutions to the quadratic equation are:

x = \frac{1 + 197}{14}, x = \frac{1 - 197}{14}

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x^{2} - 24 x - 6 = 0

What are the solutions to the equation solvefor x,7x^2-x=7 ?
The solutions to the equation solvefor x,7x^2-x=7 are x=(1+sqrt(197))/(14),x=(1-sqrt(197))/(14)
Find the zeros of solvefor x,7x^2-x=7
The zeros of solvefor x,7x^2-x=7 are x=(1+sqrt(197))/(14),x=(1-sqrt(197))/(14)