What are the solutions to the equation x^2+88x=16.64 ?

The solutions to the equation x^2+88x=16.64 are x=(4(3sqrt(339)-55))/5 ,x=-(4(55+3sqrt(339)))/5

Find the zeros of x^2+88x=16.64

The zeros of x^2+88x=16.64 are x=(4(3sqrt(339)-55))/5 ,x=-(4(55+3sqrt(339)))/5

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x^{2} + 88 x = 16.64

x = \frac{4 ( 3 339 - 55 )}{5}, x = - \frac{4 ( 55 + 3 339 )}{5}

Decimal Notation

x = 0.18868 \dots, x = - 88.18868 \dots

Solution steps

x^{2} + 88 x = 16.64

Multiply both sides by

100

100 x^{2} + 8800 x = 1664

Move

1664

to the left side

100 x^{2} + 8800 x - 1664 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8800 \pm 880 0 ^{2} - 4 \cdot 100 ( - 1664 )}{2 \cdot 100}

880 0^{2} - 4 \cdot 100 (- 1664) = 480339

x_{1, 2} = \frac{- 8800 \pm 480 339}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 8800 + 480 339}{2 \cdot 100}, x_{2} = \frac{- 8800 - 480 339}{2 \cdot 100}

x = \frac{- 8800 + 480 339}{2 \cdot 100} : \frac{4 ( 3 339 - 55 )}{5}

x = \frac{- 8800 - 480 339}{2 \cdot 100} : - \frac{4 ( 55 + 3 339 )}{5}

The solutions to the quadratic equation are:

x = \frac{4 ( 3 339 - 55 )}{5}, x = - \frac{4 ( 55 + 3 339 )}{5}

x, x^{2} y - 3 x^{2} = 75

(3 x - 1)^{2} - (x + 5)^{2} = 0

c, A = \frac{1}{3} b c^{2}

4 x^{2} - 4 x + 15 = 0

5 x^{2} - 100 x = - 405

What are the solutions to the equation x^2+88x=16.64 ?
The solutions to the equation x^2+88x=16.64 are x=(4(3sqrt(339)-55))/5 ,x=-(4(55+3sqrt(339)))/5
Find the zeros of x^2+88x=16.64
The zeros of x^2+88x=16.64 are x=(4(3sqrt(339)-55))/5 ,x=-(4(55+3sqrt(339)))/5