What are the solutions to the equation 2w^2+9w-10=6w ?

The solutions to the equation 2w^2+9w-10=6w are w=(-3+sqrt(89))/4 ,w=(-3-sqrt(89))/4

Find the zeros of 2w^2+9w-10=6w

The zeros of 2w^2+9w-10=6w are w=(-3+sqrt(89))/4 ,w=(-3-sqrt(89))/4

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

w = \frac{- 3 + 89}{4}, w = \frac{- 3 - 89}{4}

Decimal Notation

w = 1.60849 \dots, w = - 3.10849 \dots

Solution steps

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

Move

6 w

to the left side

2 w^{2} + 3 w - 10 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 10 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 10) = 89

w_{1, 2} = \frac{- 3 \pm 89}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- 3 + 89}{2 \cdot 2}, w_{2} = \frac{- 3 - 89}{2 \cdot 2}

w = \frac{- 3 + 89}{2 \cdot 2} : \frac{- 3 + 89}{4}

w = \frac{- 3 - 89}{2 \cdot 2} : \frac{- 3 - 89}{4}

The solutions to the quadratic equation are:

w = \frac{- 3 + 89}{4}, w = \frac{- 3 - 89}{4}

3 x^{2} + 7 x + 10 = 0

x^{2} - 2 x - 3

(x - 4)^{2} - 47 = 32

12 x^{2} - 100 = 0

3 x^{2} - \frac{2 x}{3} + 3 = 0

What are the solutions to the equation 2w^2+9w-10=6w ?
The solutions to the equation 2w^2+9w-10=6w are w=(-3+sqrt(89))/4 ,w=(-3-sqrt(89))/4
Find the zeros of 2w^2+9w-10=6w
The zeros of 2w^2+9w-10=6w are w=(-3+sqrt(89))/4 ,w=(-3-sqrt(89))/4