What are the solutions to the equation s^2-1.16s-0.51=0 ?

The solutions to the equation s^2-1.16s-0.51=0 are s= 3/2 ,s=-17/50

Find the zeros of s^2-1.16s-0.51=0

The zeros of s^2-1.16s-0.51=0 are s= 3/2 ,s=-17/50

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s^{2} - 1.16 s - 0.51 = 0

s = \frac{3}{2}, s = - \frac{17}{50}

Decimal Notation

s = 1.5, s = - 0.34

Solution steps

s^{2} - 1.16 s - 0.51 = 0

Multiply both sides by

100

100 s^{2} - 116 s - 51 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- ( - 116 ) \pm ( - 116 ) ^{2} - 4 \cdot 100 ( - 51 )}{2 \cdot 100}

(- 116)^{2} - 4 \cdot 100 (- 51) = 184

s_{1, 2} = \frac{- ( - 116 ) \pm 184}{2 \cdot 100}

Separate the solutions

s_{1} = \frac{- ( - 116 ) + 184}{2 \cdot 100}, s_{2} = \frac{- ( - 116 ) - 184}{2 \cdot 100}

s = \frac{- ( - 116 ) + 184}{2 \cdot 100} : \frac{3}{2}

s = \frac{- ( - 116 ) - 184}{2 \cdot 100} : - \frac{17}{50}

The solutions to the quadratic equation are:

s = \frac{3}{2}, s = - \frac{17}{50}

100 = 4 π + r^{2}

3 n^{2} + n - 50 = n + 97

- 3 k^{2} = - 12

2 x^{2} - 11 x + 11 = 0

24 x^{2} - 2 x - 15 = 0

What are the solutions to the equation s^2-1.16s-0.51=0 ?
The solutions to the equation s^2-1.16s-0.51=0 are s= 3/2 ,s=-17/50
Find the zeros of s^2-1.16s-0.51=0
The zeros of s^2-1.16s-0.51=0 are s= 3/2 ,s=-17/50