What are the solutions to the equation X^2=-4-4600*0.1*(X+2) ?

The solutions to the equation X^2=-4-4600*0.1*(X+2) are X=2(sqrt(12994)-115),X=-2(115+sqrt(12994))

Find the zeros of X^2=-4-4600*0.1*(X+2)

The zeros of X^2=-4-4600*0.1*(X+2) are X=2(sqrt(12994)-115),X=-2(115+sqrt(12994))

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X^{2} = - 4 - 4600 \cdot 0.1 \cdot (X + 2)

X = 2 (12994 - 115), X = - 2 (115 + 12994)

Solution steps

X^{2} = - 4 - 4600 \cdot 0.1 (X + 2)

Expand

- 4 - 4600 \cdot 0.1 (X + 2) : - 460 X - 924

X^{2} = - 460 X - 924

Move

924

to the left side

X^{2} + 924 = - 460 X

Move

460 X

to the left side

X^{2} + 924 + 460 X = 0

Write in the standard form

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

X^{2} + 460 X + 924 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- 460 \pm 46 0 ^{2} - 4 \cdot 1 \cdot 924}{2 \cdot 1}

46 0^{2} - 4 \cdot 1 \cdot 924 = 412994

X_{1, 2} = \frac{- 460 \pm 4 12994}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- 460 + 4 12994}{2 \cdot 1}, X_{2} = \frac{- 460 - 4 12994}{2 \cdot 1}

X = \frac{- 460 + 4 12994}{2 \cdot 1} : 2 (12994 - 115)

X = \frac{- 460 - 4 12994}{2 \cdot 1} : - 2 (115 + 12994)

The solutions to the quadratic equation are:

X = 2 (12994 - 115), X = - 2 (115 + 12994)

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

2 x^{2} - 8 x - 42

9 ∣ x - 1 ∣ = - 45

24 (x - 1) = - 6 (4 - x) + 18 x

\frac{2 7 ^{2}}{2 7 ^{\frac{4}{3}}}

What are the solutions to the equation X^2=-4-4600*0.1*(X+2) ?
The solutions to the equation X^2=-4-4600*0.1*(X+2) are X=2(sqrt(12994)-115),X=-2(115+sqrt(12994))
Find the zeros of X^2=-4-4600*0.1*(X+2)
The zeros of X^2=-4-4600*0.1*(X+2) are X=2(sqrt(12994)-115),X=-2(115+sqrt(12994))