What are the solutions to the equation w^2-3w=350 ?

The solutions to the equation w^2-3w=350 are w=(3+sqrt(1409))/2 ,w=(3-sqrt(1409))/2

Find the zeros of w^2-3w=350

The zeros of w^2-3w=350 are w=(3+sqrt(1409))/2 ,w=(3-sqrt(1409))/2

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w^{2} - 3 w = 350

w = \frac{3 + 1409}{2}, w = \frac{3 - 1409}{2}

Decimal Notation

w = 20.26832 \dots, w = - 17.26832 \dots

Solution steps

w^{2} - 3 w = 350

Move

350

to the left side

w^{2} - 3 w - 350 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 350 )}{2 \cdot 1}

(- 3)^{2} - 4 \cdot 1 \cdot (- 350) = 1409

w_{1, 2} = \frac{- ( - 3 ) \pm 1409}{2 \cdot 1}

Separate the solutions

w_{1} = \frac{- ( - 3 ) + 1409}{2 \cdot 1}, w_{2} = \frac{- ( - 3 ) - 1409}{2 \cdot 1}

w = \frac{- ( - 3 ) + 1409}{2 \cdot 1} : \frac{3 + 1409}{2}

w = \frac{- ( - 3 ) - 1409}{2 \cdot 1} : \frac{3 - 1409}{2}

The solutions to the quadratic equation are:

w = \frac{3 + 1409}{2}, w = \frac{3 - 1409}{2}

- x^{2} - 8 x + 9 = 0

x, 2 x^{2} + 3 y^{2} = 2 x y + 15

3 x^{2} - 4 x - 4 = x

G = 4 x^{2} - 29 - 20

768 x^{2} + 576 x + 96 = 0

What are the solutions to the equation w^2-3w=350 ?
The solutions to the equation w^2-3w=350 are w=(3+sqrt(1409))/2 ,w=(3-sqrt(1409))/2
Find the zeros of w^2-3w=350
The zeros of w^2-3w=350 are w=(3+sqrt(1409))/2 ,w=(3-sqrt(1409))/2