What are the solutions to the equation 76x^2-140x-846=0 ?

The solutions to the equation 76x^2-140x-846=0 are x=(35+sqrt(17299))/(38),x=(35-sqrt(17299))/(38)

Find the zeros of 76x^2-140x-846=0

The zeros of 76x^2-140x-846=0 are x=(35+sqrt(17299))/(38),x=(35-sqrt(17299))/(38)

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76 x^{2} - 140 x - 846 = 0

x = \frac{35 + 17299}{38}, x = \frac{35 - 17299}{38}

Decimal Notation

x = 4.38225 \dots, x = - 2.54014 \dots

Solution steps

76 x^{2} - 140 x - 846 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 140 ) \pm ( - 140 ) ^{2} - 4 \cdot 76 ( - 846 )}{2 \cdot 76}

(- 140)^{2} - 4 \cdot 76 (- 846) = 417299

x_{1, 2} = \frac{- ( - 140 ) \pm 4 17299}{2 \cdot 76}

Separate the solutions

x_{1} = \frac{- ( - 140 ) + 4 17299}{2 \cdot 76}, x_{2} = \frac{- ( - 140 ) - 4 17299}{2 \cdot 76}

x = \frac{- ( - 140 ) + 4 17299}{2 \cdot 76} : \frac{35 + 17299}{38}

x = \frac{- ( - 140 ) - 4 17299}{2 \cdot 76} : \frac{35 - 17299}{38}

The solutions to the quadratic equation are:

x = \frac{35 + 17299}{38}, x = \frac{35 - 17299}{38}

9.81 \cdot 450 \cdot 0.05091 = 36.2925 x^{2}

2 x^{2} - 2 x - 2 = x^{2}

27 x^{2} + 19 x - 37 = 0

- 4 w^{2} + 16 w - 16 = 0

3 x^{2} - 36 x + 81 = 0

What are the solutions to the equation 76x^2-140x-846=0 ?
The solutions to the equation 76x^2-140x-846=0 are x=(35+sqrt(17299))/(38),x=(35-sqrt(17299))/(38)
Find the zeros of 76x^2-140x-846=0
The zeros of 76x^2-140x-846=0 are x=(35+sqrt(17299))/(38),x=(35-sqrt(17299))/(38)