What are the solutions to the equation 8/3 x^2-19-7/2 x=0 ?

The solutions to the equation 8/3 x^2-19-7/2 x=0 are x=(21+sqrt(7737))/(32),x=(21-sqrt(7737))/(32)

Find the zeros of 8/3 x^2-19-7/2 x=0

The zeros of 8/3 x^2-19-7/2 x=0 are x=(21+sqrt(7737))/(32),x=(21-sqrt(7737))/(32)

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\frac{8}{3} x^{2} - 19 - \frac{7}{2} x = 0

x = \frac{21 + 7737}{32}, x = \frac{21 - 7737}{32}

Decimal Notation

x = 3.40500 \dots, x = - 2.09250 \dots

Solution steps

\frac{8}{3} x^{2} - 19 - \frac{7}{2} x = 0

Find Least Common Multiplier of

3, 2 : 6

Multiply by LCM=

6

\frac{8}{3} x^{2} \cdot 6 - 19 \cdot 6 - \frac{7}{2} x \cdot 6 = 0 \cdot 6

Simplify

16 x^{2} - 21 x - 114 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 16 ( - 114 )}{2 \cdot 16}

(- 21)^{2} - 4 \cdot 16 (- 114) = 7737

x_{1, 2} = \frac{- ( - 21 ) \pm 7737}{2 \cdot 16}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 7737}{2 \cdot 16}, x_{2} = \frac{- ( - 21 ) - 7737}{2 \cdot 16}

x = \frac{- ( - 21 ) + 7737}{2 \cdot 16} : \frac{21 + 7737}{32}

x = \frac{- ( - 21 ) - 7737}{2 \cdot 16} : \frac{21 - 7737}{32}

The solutions to the quadratic equation are:

x = \frac{21 + 7737}{32}, x = \frac{21 - 7737}{32}

x (x - 1) = 4 x

w^{2} - 5 w = 0

x^{2} - 9 = 0

0 = - \frac{1}{4} x^{2} - \frac{4}{3} x + 7

x^{2} - 4 = 0

What are the solutions to the equation 8/3 x^2-19-7/2 x=0 ?
The solutions to the equation 8/3 x^2-19-7/2 x=0 are x=(21+sqrt(7737))/(32),x=(21-sqrt(7737))/(32)
Find the zeros of 8/3 x^2-19-7/2 x=0
The zeros of 8/3 x^2-19-7/2 x=0 are x=(21+sqrt(7737))/(32),x=(21-sqrt(7737))/(32)