What are the solutions to the equation 3x^2+4x-68100=0 ?

The solutions to the equation 3x^2+4x-68100=0 are x=150,x=-454/3

Find the zeros of 3x^2+4x-68100=0

The zeros of 3x^2+4x-68100=0 are x=150,x=-454/3

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3 x^{2} + 4 x - 68100 = 0

x = 150, x = - \frac{454}{3}

Decimal Notation

x = 150, x = - 151.33333 \dots

Solution steps

3 x^{2} + 4 x - 68100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 3 ( - 68100 )}{2 \cdot 3}

4^{2} - 4 \cdot 3 (- 68100) = 904

x_{1, 2} = \frac{- 4 \pm 904}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 4 + 904}{2 \cdot 3}, x_{2} = \frac{- 4 - 904}{2 \cdot 3}

x = \frac{- 4 + 904}{2 \cdot 3} : 150

x = \frac{- 4 - 904}{2 \cdot 3} : - \frac{454}{3}

The solutions to the quadratic equation are:

x = 150, x = - \frac{454}{3}

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

- 3 x^{2} + 12 x

x, f (x + h) = 10 + 3 x^{2}

x^{2} - 8 x - 38 = 0

- 5 x^{2} + 35 x - 60 = 0

What are the solutions to the equation 3x^2+4x-68100=0 ?
The solutions to the equation 3x^2+4x-68100=0 are x=150,x=-454/3
Find the zeros of 3x^2+4x-68100=0
The zeros of 3x^2+4x-68100=0 are x=150,x=-454/3