What are the solutions to the equation -4.9x^2+16.8x+7.6=0 ?

The solutions to the equation -4.9x^2+16.8x+7.6=0 are x=-(2(sqrt(55)-6))/7 ,x=(2(6+sqrt(55)))/7

Find the zeros of -4.9x^2+16.8x+7.6=0

The zeros of -4.9x^2+16.8x+7.6=0 are x=-(2(sqrt(55)-6))/7 ,x=(2(6+sqrt(55)))/7

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- 4.9 x^{2} + 16.8 x + 7.6 = 0

x = - \frac{2 ( 55 - 6 )}{7}, x = \frac{2 ( 6 + 55 )}{7}

Decimal Notation

x = - 0.40462 \dots, x = 3.83319 \dots

Solution steps

- 4.9 x^{2} + 16.8 x + 7.6 = 0

Multiply both sides by

10

- 49 x^{2} + 168 x + 76 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 168 \pm 16 8 ^{2} - 4 ( - 49 ) \cdot 76}{2 ( - 49 )}

16 8^{2} - 4 (- 49) \cdot 76 = 2855

x_{1, 2} = \frac{- 168 \pm 28 55}{2 ( - 49 )}

Separate the solutions

x_{1} = \frac{- 168 + 28 55}{2 ( - 49 )}, x_{2} = \frac{- 168 - 28 55}{2 ( - 49 )}

x = \frac{- 168 + 28 55}{2 ( - 49 )} : - \frac{2 ( 55 - 6 )}{7}

x = \frac{- 168 - 28 55}{2 ( - 49 )} : \frac{2 ( 6 + 55 )}{7}

The solutions to the quadratic equation are:

x = - \frac{2 ( 55 - 6 )}{7}, x = \frac{2 ( 6 + 55 )}{7}

w^{2} + 9 = 0

q^{2} - 48 = 0

3 x^{2} + 8 x + 4 = 0

2 x - 3 = x^{2} - 6 x + 9

n^{2} = - 3 n

What are the solutions to the equation -4.9x^2+16.8x+7.6=0 ?
The solutions to the equation -4.9x^2+16.8x+7.6=0 are x=-(2(sqrt(55)-6))/7 ,x=(2(6+sqrt(55)))/7
Find the zeros of -4.9x^2+16.8x+7.6=0
The zeros of -4.9x^2+16.8x+7.6=0 are x=-(2(sqrt(55)-6))/7 ,x=(2(6+sqrt(55)))/7