What are the solutions to the equation 3x^2-7x-22=0 ?

The solutions to the equation 3x^2-7x-22=0 are x=(7+sqrt(313))/6 ,x=(7-sqrt(313))/6

Find the zeros of 3x^2-7x-22=0

The zeros of 3x^2-7x-22=0 are x=(7+sqrt(313))/6 ,x=(7-sqrt(313))/6

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3 x^{2} - 7 x - 22 = 0

x = \frac{7 + 313}{6}, x = \frac{7 - 313}{6}

Decimal Notation

x = 4.11530 \dots, x = - 1.78196 \dots

Solution steps

3 x^{2} - 7 x - 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 ( - 22 )}{2 \cdot 3}

(- 7)^{2} - 4 \cdot 3 (- 22) = 313

x_{1, 2} = \frac{- ( - 7 ) \pm 313}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 313}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 313}{2 \cdot 3}

x = \frac{- ( - 7 ) + 313}{2 \cdot 3} : \frac{7 + 313}{6}

x = \frac{- ( - 7 ) - 313}{2 \cdot 3} : \frac{7 - 313}{6}

The solutions to the quadratic equation are:

x = \frac{7 + 313}{6}, x = \frac{7 - 313}{6}

x^{2} + 6 x + 1 = - 2 x + 1

3 c^{2} + 14 c - 8 = 4 c

2 x^{2} = 73728

r^{2} + 20 r + 1000 = 0

x^{2} - 2 x + 3

What are the solutions to the equation 3x^2-7x-22=0 ?
The solutions to the equation 3x^2-7x-22=0 are x=(7+sqrt(313))/6 ,x=(7-sqrt(313))/6
Find the zeros of 3x^2-7x-22=0
The zeros of 3x^2-7x-22=0 are x=(7+sqrt(313))/6 ,x=(7-sqrt(313))/6