What are the solutions to the equation w^2-7w-9=0 ?

The solutions to the equation w^2-7w-9=0 are w=(7+sqrt(85))/2 ,w=(7-sqrt(85))/2

Find the zeros of w^2-7w-9=0

The zeros of w^2-7w-9=0 are w=(7+sqrt(85))/2 ,w=(7-sqrt(85))/2

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w^{2} - 7 w - 9 = 0

w = \frac{7 + 85}{2}, w = \frac{7 - 85}{2}

Decimal Notation

w = 8.10977 \dots, w = - 1.10977 \dots

Solution steps

w^{2} - 7 w - 9 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

(- 7)^{2} - 4 \cdot 1 \cdot (- 9) = 85

w_{1, 2} = \frac{- ( - 7 ) \pm 85}{2 \cdot 1}

Separate the solutions

w_{1} = \frac{- ( - 7 ) + 85}{2 \cdot 1}, w_{2} = \frac{- ( - 7 ) - 85}{2 \cdot 1}

w = \frac{- ( - 7 ) + 85}{2 \cdot 1} : \frac{7 + 85}{2}

w = \frac{- ( - 7 ) - 85}{2 \cdot 1} : \frac{7 - 85}{2}

The solutions to the quadratic equation are:

w = \frac{7 + 85}{2}, w = \frac{7 - 85}{2}

- x^{2} + 8 x - 3 = 0

x = x^{2} + 4

x^{2} + x - 2 = - 2

2 a^{2} - 5 a + 3 = 0

x (x + 4) = 4 (x + 16)

What are the solutions to the equation w^2-7w-9=0 ?
The solutions to the equation w^2-7w-9=0 are w=(7+sqrt(85))/2 ,w=(7-sqrt(85))/2
Find the zeros of w^2-7w-9=0
The zeros of w^2-7w-9=0 are w=(7+sqrt(85))/2 ,w=(7-sqrt(85))/2