What are the solutions to the equation 3.5y^2-0.1y-0.6=0 ?

The solutions to the equation 3.5y^2-0.1y-0.6=0 are y= 3/7 ,y=-2/5

Find the zeros of 3.5y^2-0.1y-0.6=0

The zeros of 3.5y^2-0.1y-0.6=0 are y= 3/7 ,y=-2/5

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3.5 y^{2} - 0.1 y - 0.6 = 0

y = \frac{3}{7}, y = - \frac{2}{5}

Decimal Notation

y = 0.42857 \dots, y = - 0.4

Solution steps

3.5 y^{2} - 0.1 y - 0.6 = 0

Multiply both sides by

10

35 y^{2} - y - 6 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 35 ( - 6 )}{2 \cdot 35}

(- 1)^{2} - 4 \cdot 35 (- 6) = 29

y_{1, 2} = \frac{- ( - 1 ) \pm 29}{2 \cdot 35}

Separate the solutions

y_{1} = \frac{- ( - 1 ) + 29}{2 \cdot 35}, y_{2} = \frac{- ( - 1 ) - 29}{2 \cdot 35}

y = \frac{- ( - 1 ) + 29}{2 \cdot 35} : \frac{3}{7}

y = \frac{- ( - 1 ) - 29}{2 \cdot 35} : - \frac{2}{5}

The solutions to the quadratic equation are:

y = \frac{3}{7}, y = - \frac{2}{5}

3 x^{2} - x + 5 = 7

3 x^{2} + 108 = 0

(x) = x^{2} + 4 x + 5

(2 x + a)^{2} = b

x^{2} + 8 x = 14

What are the solutions to the equation 3.5y^2-0.1y-0.6=0 ?
The solutions to the equation 3.5y^2-0.1y-0.6=0 are y= 3/7 ,y=-2/5
Find the zeros of 3.5y^2-0.1y-0.6=0
The zeros of 3.5y^2-0.1y-0.6=0 are y= 3/7 ,y=-2/5