What are the solutions to the equation 12x^2-11x-5=0 ?

The solutions to the equation 12x^2-11x-5=0 are x= 5/4 ,x=-1/3

Find the zeros of 12x^2-11x-5=0

The zeros of 12x^2-11x-5=0 are x= 5/4 ,x=-1/3

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12 x^{2} - 11 x - 5 = 0

x = \frac{5}{4}, x = - \frac{1}{3}

Decimal Notation

x = 1.25, x = - 0.33333 \dots

Solution steps

12 x^{2} - 11 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 12 ( - 5 )}{2 \cdot 12}

(- 11)^{2} - 4 \cdot 12 (- 5) = 19

x_{1, 2} = \frac{- ( - 11 ) \pm 19}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 19}{2 \cdot 12}, x_{2} = \frac{- ( - 11 ) - 19}{2 \cdot 12}

x = \frac{- ( - 11 ) + 19}{2 \cdot 12} : \frac{5}{4}

x = \frac{- ( - 11 ) - 19}{2 \cdot 12} : - \frac{1}{3}

The solutions to the quadratic equation are:

x = \frac{5}{4}, x = - \frac{1}{3}

x^{2} - \frac{1}{2} x - \frac{3}{2} = 0

\frac{16 ( x - 8 ) ^{2} + 25 ( \frac{9}{4} )}{400} = 1

4 x^{2} + 5 x + 20 = 0

12 x^{2} + 6 = 17 x

0 = - 4.9 x^{2} + 24.5 x + 9.5

What are the solutions to the equation 12x^2-11x-5=0 ?
The solutions to the equation 12x^2-11x-5=0 are x= 5/4 ,x=-1/3
Find the zeros of 12x^2-11x-5=0
The zeros of 12x^2-11x-5=0 are x= 5/4 ,x=-1/3