What are the solutions to the equation 5w^2-8w-7=0 ?

The solutions to the equation 5w^2-8w-7=0 are w=(4+sqrt(51))/5 ,w=(4-sqrt(51))/5

Find the zeros of 5w^2-8w-7=0

The zeros of 5w^2-8w-7=0 are w=(4+sqrt(51))/5 ,w=(4-sqrt(51))/5

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5 w^{2} - 8 w - 7 = 0

w = \frac{4 + 51}{5}, w = \frac{4 - 51}{5}

Decimal Notation

w = 2.22828 \dots, w = - 0.62828 \dots

Solution steps

5 w^{2} - 8 w - 7 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 ( - 7 )}{2 \cdot 5}

(- 8)^{2} - 4 \cdot 5 (- 7) = 251

w_{1, 2} = \frac{- ( - 8 ) \pm 2 51}{2 \cdot 5}

Separate the solutions

w_{1} = \frac{- ( - 8 ) + 2 51}{2 \cdot 5}, w_{2} = \frac{- ( - 8 ) - 2 51}{2 \cdot 5}

w = \frac{- ( - 8 ) + 2 51}{2 \cdot 5} : \frac{4 + 51}{5}

w = \frac{- ( - 8 ) - 2 51}{2 \cdot 5} : \frac{4 - 51}{5}

The solutions to the quadratic equation are:

w = \frac{4 + 51}{5}, w = \frac{4 - 51}{5}

2 mn x^{2} + n x - 2 m x - 1 = 0

x^{2} + (\frac{4}{5})^{2} = 1

0 = y^{2} - 4 y

(\frac{3}{2} x - \frac{1}{2})^{2} - 0.8 (1 - x) = 0

(200 + 20 x) (40 - 2 x) = 9000

What are the solutions to the equation 5w^2-8w-7=0 ?
The solutions to the equation 5w^2-8w-7=0 are w=(4+sqrt(51))/5 ,w=(4-sqrt(51))/5
Find the zeros of 5w^2-8w-7=0
The zeros of 5w^2-8w-7=0 are w=(4+sqrt(51))/5 ,w=(4-sqrt(51))/5