What are the solutions to the equation 10q^2=q+2 ?

The solutions to the equation 10q^2=q+2 are q= 1/2 ,q=-2/5

Find the zeros of 10q^2=q+2

The zeros of 10q^2=q+2 are q= 1/2 ,q=-2/5

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10 q^{2} = q + 2

q = \frac{1}{2}, q = - \frac{2}{5}

Decimal Notation

q = 0.5, q = - 0.4

Solution steps

10 q^{2} = q + 2

Move

2

to the left side

10 q^{2} - 2 = q

Move

q

to the left side

10 q^{2} - 2 - q = 0

Write in the standard form

a x^{2} + b x + c = 0

10 q^{2} - q - 2 = 0

Solve with the quadratic formula

q_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 10 ( - 2 )}{2 \cdot 10}

(- 1)^{2} - 4 \cdot 10 (- 2) = 9

q_{1, 2} = \frac{- ( - 1 ) \pm 9}{2 \cdot 10}

Separate the solutions

q_{1} = \frac{- ( - 1 ) + 9}{2 \cdot 10}, q_{2} = \frac{- ( - 1 ) - 9}{2 \cdot 10}

q = \frac{- ( - 1 ) + 9}{2 \cdot 10} : \frac{1}{2}

q = \frac{- ( - 1 ) - 9}{2 \cdot 10} : - \frac{2}{5}

The solutions to the quadratic equation are:

q = \frac{1}{2}, q = - \frac{2}{5}

z^{2} + z - 3 = 0

3 x^{2} - 45 = 2 x^{2}

3 x = x^{2} - 2

9 x^{2} + 6 x = - 10

(x - 1) (3 x + 2) = 0

What are the solutions to the equation 10q^2=q+2 ?
The solutions to the equation 10q^2=q+2 are q= 1/2 ,q=-2/5
Find the zeros of 10q^2=q+2
The zeros of 10q^2=q+2 are q= 1/2 ,q=-2/5