What are the solutions to the equation 5x^2+100x+460=0 ?

The solutions to the equation 5x^2+100x+460=0 are x=2(sqrt(2)-5),x=-2(5+sqrt(2))

Find the zeros of 5x^2+100x+460=0

The zeros of 5x^2+100x+460=0 are x=2(sqrt(2)-5),x=-2(5+sqrt(2))

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5 x^{2} + 100 x + 460 = 0

x = 2 (2 - 5), x = - 2 (5 + 2)

Decimal Notation

x = - 7.17157 \dots, x = - 12.82842 \dots

Solution steps

5 x^{2} + 100 x + 460 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 5 \cdot 460}{2 \cdot 5}

10 0^{2} - 4 \cdot 5 \cdot 460 = 202

x_{1, 2} = \frac{- 100 \pm 20 2}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 100 + 20 2}{2 \cdot 5}, x_{2} = \frac{- 100 - 20 2}{2 \cdot 5}

x = \frac{- 100 + 20 2}{2 \cdot 5} : 2 (2 - 5)

x = \frac{- 100 - 20 2}{2 \cdot 5} : - 2 (5 + 2)

The solutions to the quadratic equation are:

x = 2 (2 - 5), x = - 2 (5 + 2)

3 (4 x + 1)^{2} - 37 = 5

x^{2} - 3 x - 10 = 0

3 x^{2} + 2 x = 6

4 (4 x + 9)^{2} - 17 = - 5

- 6 x^{2} - 7 x + 155 = - 8 x

What are the solutions to the equation 5x^2+100x+460=0 ?
The solutions to the equation 5x^2+100x+460=0 are x=2(sqrt(2)-5),x=-2(5+sqrt(2))
Find the zeros of 5x^2+100x+460=0
The zeros of 5x^2+100x+460=0 are x=2(sqrt(2)-5),x=-2(5+sqrt(2))