What are the solutions to the equation x^2+44x=4.16 ?

The solutions to the equation x^2+44x=4.16 are x=(2(3sqrt(339)-55))/5 ,x=-(2(55+3sqrt(339)))/5

Find the zeros of x^2+44x=4.16

The zeros of x^2+44x=4.16 are x=(2(3sqrt(339)-55))/5 ,x=-(2(55+3sqrt(339)))/5

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x^{2} + 44 x = 4.16

x = \frac{2 ( 3 339 - 55 )}{5}, x = - \frac{2 ( 55 + 3 339 )}{5}

Decimal Notation

x = 0.09434 \dots, x = - 44.09434 \dots

Solution steps

x^{2} + 44 x = 4.16

Multiply both sides by

100

100 x^{2} + 4400 x = 416

Move

416

to the left side

100 x^{2} + 4400 x - 416 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4400 \pm 440 0 ^{2} - 4 \cdot 100 ( - 416 )}{2 \cdot 100}

440 0^{2} - 4 \cdot 100 (- 416) = 240339

x_{1, 2} = \frac{- 4400 \pm 240 339}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 4400 + 240 339}{2 \cdot 100}, x_{2} = \frac{- 4400 - 240 339}{2 \cdot 100}

x = \frac{- 4400 + 240 339}{2 \cdot 100} : \frac{2 ( 3 339 - 55 )}{5}

x = \frac{- 4400 - 240 339}{2 \cdot 100} : - \frac{2 ( 55 + 3 339 )}{5}

The solutions to the quadratic equation are:

x = \frac{2 ( 3 339 - 55 )}{5}, x = - \frac{2 ( 55 + 3 339 )}{5}

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

6 n^{2} - 6 n + 3 = 4 n^{2}

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

x^{2} = (x - 8)^{2} + (x - 1)^{2}

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

What are the solutions to the equation x^2+44x=4.16 ?
The solutions to the equation x^2+44x=4.16 are x=(2(3sqrt(339)-55))/5 ,x=-(2(55+3sqrt(339)))/5
Find the zeros of x^2+44x=4.16
The zeros of x^2+44x=4.16 are x=(2(3sqrt(339)-55))/5 ,x=-(2(55+3sqrt(339)))/5