What are the solutions to the equation 3x^2-11x-1=3 ?

The solutions to the equation 3x^2-11x-1=3 are x=4,x=-1/3

Find the zeros of 3x^2-11x-1=3

The zeros of 3x^2-11x-1=3 are x=4,x=-1/3

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3 x^{2} - 11 x - 1 = 3

x = 4, x = - \frac{1}{3}

Decimal Notation

x = 4, x = - 0.33333 \dots

Solution steps

3 x^{2} - 11 x - 1 = 3

Move

3

to the left side

3 x^{2} - 11 x - 4 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 ( - 4 )}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 (- 4) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 3}

x = \frac{- ( - 11 ) + 13}{2 \cdot 3} : 4

x = \frac{- ( - 11 ) - 13}{2 \cdot 3} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = 4, x = - \frac{1}{3}

x^{2} - 39 = - 2 x + 9

- t^{2} - 7 t - 4 = - 2 t^{2}

x, (x + 3)^{2} = 8 (y - 1)^{3}

x^{2} - 7 x + 12 = 20 x^{2} + x + 1

4 x^{2} + 12 x - 44 = 0

What are the solutions to the equation 3x^2-11x-1=3 ?
The solutions to the equation 3x^2-11x-1=3 are x=4,x=-1/3
Find the zeros of 3x^2-11x-1=3
The zeros of 3x^2-11x-1=3 are x=4,x=-1/3