What are the solutions to the equation 5x^2+470=-100x ?

The solutions to the equation 5x^2+470=-100x are x=-10+sqrt(6),x=-10-sqrt(6)

Find the zeros of 5x^2+470=-100x

The zeros of 5x^2+470=-100x are x=-10+sqrt(6),x=-10-sqrt(6)

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5 x^{2} + 470 = - 100 x

x = - 10 + 6, x = - 10 - 6

Decimal Notation

x = - 7.55051 \dots, x = - 12.44948 \dots

Solution steps

5 x^{2} + 470 = - 100 x

Move

100 x

to the left side

5 x^{2} + 470 + 100 x = 0

Write in the standard form

a x^{2} + b x + c = 0

5 x^{2} + 100 x + 470 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 100 \pm 10 0 ^{2} - 4 \cdot 5 \cdot 470}{2 \cdot 5}

10 0^{2} - 4 \cdot 5 \cdot 470 = 106

x_{1, 2} = \frac{- 100 \pm 10 6}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 100 + 10 6}{2 \cdot 5}, x_{2} = \frac{- 100 - 10 6}{2 \cdot 5}

x = \frac{- 100 + 10 6}{2 \cdot 5} : - 10 + 6

x = \frac{- 100 - 10 6}{2 \cdot 5} : - 10 - 6

The solutions to the quadratic equation are:

x = - 10 + 6, x = - 10 - 6

3 ∣ 2 x - 7 ∣ = 3

\frac{3 X + 2}{X - 1} > 0

3 x^{2} + 21 x + 18 = 0

∣ x + 3 ∣ \leq - x + 1

54 + 24

What are the solutions to the equation 5x^2+470=-100x ?
The solutions to the equation 5x^2+470=-100x are x=-10+sqrt(6),x=-10-sqrt(6)
Find the zeros of 5x^2+470=-100x
The zeros of 5x^2+470=-100x are x=-10+sqrt(6),x=-10-sqrt(6)