What are the solutions to the equation x^2+56x=8.16 ?

The solutions to the equation x^2+56x=8.16 are x=(2(sqrt(4951)-70))/5 ,x=-(2(70+sqrt(4951)))/5

Find the zeros of x^2+56x=8.16

The zeros of x^2+56x=8.16 are x=(2(sqrt(4951)-70))/5 ,x=-(2(70+sqrt(4951)))/5

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x^{2} + 56 x = 8.16

x = \frac{2 ( 4951 - 70 )}{5}, x = - \frac{2 ( 70 + 4951 )}{5}

Decimal Notation

x = 0.14533 \dots, x = - 56.14533 \dots

Solution steps

x^{2} + 56 x = 8.16

Multiply both sides by

100

100 x^{2} + 5600 x = 816

Move

816

to the left side

100 x^{2} + 5600 x - 816 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5600 \pm 560 0 ^{2} - 4 \cdot 100 ( - 816 )}{2 \cdot 100}

560 0^{2} - 4 \cdot 100 (- 816) = 804951

x_{1, 2} = \frac{- 5600 \pm 80 4951}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 5600 + 80 4951}{2 \cdot 100}, x_{2} = \frac{- 5600 - 80 4951}{2 \cdot 100}

x = \frac{- 5600 + 80 4951}{2 \cdot 100} : \frac{2 ( 4951 - 70 )}{5}

x = \frac{- 5600 - 80 4951}{2 \cdot 100} : - \frac{2 ( 70 + 4951 )}{5}

The solutions to the quadratic equation are:

x = \frac{2 ( 4951 - 70 )}{5}, x = - \frac{2 ( 70 + 4951 )}{5}

x, 2 x^{2} + 7 x + 5 = 0

x (4 x - 1) = 5

u, A = 28 u^{2}

n^{2} + 8 = 80

2 x^{2} - 61 = 139

What are the solutions to the equation x^2+56x=8.16 ?
The solutions to the equation x^2+56x=8.16 are x=(2(sqrt(4951)-70))/5 ,x=-(2(70+sqrt(4951)))/5
Find the zeros of x^2+56x=8.16
The zeros of x^2+56x=8.16 are x=(2(sqrt(4951)-70))/5 ,x=-(2(70+sqrt(4951)))/5