What are the solutions to the equation x^2-56=7x ?

The solutions to the equation x^2-56=7x are x=(7+sqrt(273))/2 ,x=(7-sqrt(273))/2

Find the zeros of x^2-56=7x

The zeros of x^2-56=7x are x=(7+sqrt(273))/2 ,x=(7-sqrt(273))/2

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x^{2} - 56 = 7 x

x = \frac{7 + 273}{2}, x = \frac{7 - 273}{2}

Decimal Notation

x = 11.76135 \dots, x = - 4.76135 \dots

Solution steps

x^{2} - 56 = 7 x

Move

7 x

to the left side

x^{2} - 56 - 7 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 7 x - 56 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 56 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 56) = 273

x_{1, 2} = \frac{- ( - 7 ) \pm 273}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 273}{2 \cdot 1}, x_{2} = \frac{- ( - 7 ) - 273}{2 \cdot 1}

x = \frac{- ( - 7 ) + 273}{2 \cdot 1} : \frac{7 + 273}{2}

x = \frac{- ( - 7 ) - 273}{2 \cdot 1} : \frac{7 - 273}{2}

The solutions to the quadratic equation are:

x = \frac{7 + 273}{2}, x = \frac{7 - 273}{2}

100 m^{2} n^{6} = (x)^{2}

x^{2} + 10 x - 200 = 0

4 r^{2} + 4 r - 1 = 0

(x + 7) (x - 3) = 0

13500 x^{2} - 2481 x - 660.75 = 0

What are the solutions to the equation x^2-56=7x ?
The solutions to the equation x^2-56=7x are x=(7+sqrt(273))/2 ,x=(7-sqrt(273))/2
Find the zeros of x^2-56=7x
The zeros of x^2-56=7x are x=(7+sqrt(273))/2 ,x=(7-sqrt(273))/2