What are the solutions to the equation 0.01x^2+0.06x-0.05=0 ?

The solutions to the equation 0.01x^2+0.06x-0.05=0 are x=-3+sqrt(14),x=-3-sqrt(14)

Find the zeros of 0.01x^2+0.06x-0.05=0

The zeros of 0.01x^2+0.06x-0.05=0 are x=-3+sqrt(14),x=-3-sqrt(14)

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0.01 x^{2} + 0.06 x - 0.05 = 0

x = - 3 + 14, x = - 3 - 14

Decimal Notation

x = 0.74165 \dots, x = - 6.74165 \dots

Solution steps

0.01 x^{2} + 0.06 x - 0.05 = 0

Multiply both sides by

100

x^{2} + 6 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 5) = 214

x_{1, 2} = \frac{- 6 \pm 2 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 14}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 14}{2 \cdot 1}

x = \frac{- 6 + 2 14}{2 \cdot 1} : - 3 + 14

x = \frac{- 6 - 2 14}{2 \cdot 1} : - 3 - 14

The solutions to the quadratic equation are:

x = - 3 + 14, x = - 3 - 14

2 x^{3} + 9 x^{2} + 13 x + 6

3 x^{2} - 36 x + 81

549

8 b^{3} - 4 b^{2} a - 18 b + 9 a

3 x + 19 = 6 x + 7

What are the solutions to the equation 0.01x^2+0.06x-0.05=0 ?
The solutions to the equation 0.01x^2+0.06x-0.05=0 are x=-3+sqrt(14),x=-3-sqrt(14)
Find the zeros of 0.01x^2+0.06x-0.05=0
The zeros of 0.01x^2+0.06x-0.05=0 are x=-3+sqrt(14),x=-3-sqrt(14)