What are the solutions to the equation -4.9x^2+13x+18=0 ?

The solutions to the equation -4.9x^2+13x+18=0 are x=-(-65+sqrt(13045))/(49),x=(65+sqrt(13045))/(49)

Find the zeros of -4.9x^2+13x+18=0

The zeros of -4.9x^2+13x+18=0 are x=-(-65+sqrt(13045))/(49),x=(65+sqrt(13045))/(49)

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- 4.9 x^{2} + 13 x + 18 = 0

x = - \frac{- 65 + 13045}{49}, x = \frac{65 + 13045}{49}

Decimal Notation

x = - 1.00438 \dots, x = 3.65744 \dots

Solution steps

- 4.9 x^{2} + 13 x + 18 = 0

Multiply both sides by

10

- 49 x^{2} + 130 x + 180 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 130 \pm 13 0 ^{2} - 4 ( - 49 ) \cdot 180}{2 ( - 49 )}

13 0^{2} - 4 (- 49) \cdot 180 = 213045

x_{1, 2} = \frac{- 130 \pm 2 13045}{2 ( - 49 )}

Separate the solutions

x_{1} = \frac{- 130 + 2 13045}{2 ( - 49 )}, x_{2} = \frac{- 130 - 2 13045}{2 ( - 49 )}

x = \frac{- 130 + 2 13045}{2 ( - 49 )} : - \frac{- 65 + 13045}{49}

x = \frac{- 130 - 2 13045}{2 ( - 49 )} : \frac{65 + 13045}{49}

The solutions to the quadratic equation are:

x = - \frac{- 65 + 13045}{49}, x = \frac{65 + 13045}{49}

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

2 x^{2} + x - 210 = 0

x (x - 12) - 12 (x - 12) = 0

r^{2} - 10 r + 16 = 0

9 x = x^{2} + 4 x + 4

What are the solutions to the equation -4.9x^2+13x+18=0 ?
The solutions to the equation -4.9x^2+13x+18=0 are x=-(-65+sqrt(13045))/(49),x=(65+sqrt(13045))/(49)
Find the zeros of -4.9x^2+13x+18=0
The zeros of -4.9x^2+13x+18=0 are x=-(-65+sqrt(13045))/(49),x=(65+sqrt(13045))/(49)