What are the solutions to the equation 24x^2-47x-21=0 ?

The solutions to the equation 24x^2-47x-21=0 are x= 7/3 ,x=-3/8

Find the zeros of 24x^2-47x-21=0

The zeros of 24x^2-47x-21=0 are x= 7/3 ,x=-3/8

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24 x^{2} - 47 x - 21 = 0

x = \frac{7}{3}, x = - \frac{3}{8}

Decimal

x = 2.33333 \dots, x = - 0.375

Solution steps

24 x^{2} - 47 x - 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 47 ) \pm ( - 47 ) ^{2} - 4 \cdot 24 ( - 21 )}{2 \cdot 24}

(- 47)^{2} - 4 \cdot 24 (- 21) = 65

x_{1, 2} = \frac{- ( - 47 ) \pm 65}{2 \cdot 24}

Separate the solutions

x_{1} = \frac{- ( - 47 ) + 65}{2 \cdot 24}, x_{2} = \frac{- ( - 47 ) - 65}{2 \cdot 24}

x = \frac{- ( - 47 ) + 65}{2 \cdot 24} : \frac{7}{3}

x = \frac{- ( - 47 ) - 65}{2 \cdot 24} : - \frac{3}{8}

The solutions to the quadratic equation are:

x = \frac{7}{3}, x = - \frac{3}{8}

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\frac{82 + 78 + 76 + 82 + 2 x}{6} = 80

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What are the solutions to the equation 24x^2-47x-21=0 ?
The solutions to the equation 24x^2-47x-21=0 are x= 7/3 ,x=-3/8
Find the zeros of 24x^2-47x-21=0
The zeros of 24x^2-47x-21=0 are x= 7/3 ,x=-3/8