What are the solutions to the equation 4w^2-320w+3000=0 ?

The solutions to the equation 4w^2-320w+3000=0 are w=5(8+sqrt(34)),w=5(8-sqrt(34))

Find the zeros of 4w^2-320w+3000=0

The zeros of 4w^2-320w+3000=0 are w=5(8+sqrt(34)),w=5(8-sqrt(34))

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4 w^{2} - 320 w + 3000 = 0

w = 5 (8 + 34), w = 5 (8 - 34)

Decimal

w = 69.15475 \dots, w = 10.84524 \dots

Solution steps

4 w^{2} - 320 w + 3000 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- ( - 320 ) \pm ( - 320 ) ^{2} - 4 \cdot 4 \cdot 3000}{2 \cdot 4}

(- 320)^{2} - 4 \cdot 4 \cdot 3000 = 4034

w_{1, 2} = \frac{- ( - 320 ) \pm 40 34}{2 \cdot 4}

Separate the solutions

w_{1} = \frac{- ( - 320 ) + 40 34}{2 \cdot 4}, w_{2} = \frac{- ( - 320 ) - 40 34}{2 \cdot 4}

w = \frac{- ( - 320 ) + 40 34}{2 \cdot 4} : 5 (8 + 34)

w = \frac{- ( - 320 ) - 40 34}{2 \cdot 4} : 5 (8 - 34)

The solutions to the quadratic equation are:

w = 5 (8 + 34), w = 5 (8 - 34)

(\frac{( a + b )}{2})^{2}

x^{2} + 4 x + 4 = 8

x y - 3 x^{3} y - 4 x y^{2} + 3 x^{2} + 7 x^{3} y

- 6 b - 6

6 \frac{729}{64}

What are the solutions to the equation 4w^2-320w+3000=0 ?
The solutions to the equation 4w^2-320w+3000=0 are w=5(8+sqrt(34)),w=5(8-sqrt(34))
Find the zeros of 4w^2-320w+3000=0
The zeros of 4w^2-320w+3000=0 are w=5(8+sqrt(34)),w=5(8-sqrt(34))