What are the solutions to the equation (500*10*70)=(500*10*30)+(1/2*500*x^2) ?

The solutions to the equation (500*10*70)=(500*10*30)+(1/2*500*x^2) are x=20sqrt(2),x=-20sqrt(2)

Find the zeros of (500*10*70)=(500*10*30)+(1/2*500*x^2)

The zeros of (500*10*70)=(500*10*30)+(1/2*500*x^2) are x=20sqrt(2),x=-20sqrt(2)

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(500 \cdot 10 \cdot 70) = (500 \cdot 10 \cdot 30) + (\frac{1}{2} \cdot 500 \cdot x^{2})

x = 202, x = - 202

Decimal Notation

x = 28.28427 \dots, x = - 28.28427 \dots

Solution steps

(500 \cdot 10 \cdot 70) = (500 \cdot 10 \cdot 30) + (\frac{1}{2} \cdot 500 x^{2})

Expand

500 \cdot 10 \cdot 70 : 350000

Expand

(500 \cdot 10 \cdot 30) + (\frac{1}{2} \cdot 500 x^{2}) : 150000 + 250 x^{2}

350000 = 150000 + 250 x^{2}

Switch sides

150000 + 250 x^{2} = 350000

Move

150000

to the right side

250 x^{2} = 200000

Divide both sides by

250

x^{2} = 800

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = 800, x = - 800

800 = 202

- 800 = - 202

x = 202, x = - 202

- (4 x + 2) - 7 x = - 12 x + 1

4 x^{2} + 3 x + 3 = 0

4 x + 8 \geq 0

1 - 5 x > 6

∣ 2 x + 11 ∣ = ∣ 2 x + 9 ∣

What are the solutions to the equation (500*10*70)=(500*10*30)+(1/2*500*x^2) ?
The solutions to the equation (500*10*70)=(500*10*30)+(1/2*500*x^2) are x=20sqrt(2),x=-20sqrt(2)
Find the zeros of (500*10*70)=(500*10*30)+(1/2*500*x^2)
The zeros of (500*10*70)=(500*10*30)+(1/2*500*x^2) are x=20sqrt(2),x=-20sqrt(2)