What are the solutions to the equation 6x^2+5/2 =8x ?

The solutions to the equation 6x^2+5/2 =8x are x= 5/6 ,x= 1/2

Find the zeros of 6x^2+5/2 =8x

The zeros of 6x^2+5/2 =8x are x= 5/6 ,x= 1/2

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6 x^{2} + \frac{5}{2} = 8 x

x = \frac{5}{6}, x = \frac{1}{2}

Solution steps

6 x^{2} + \frac{5}{2} = 8 x

Multiply both sides by

2

12 x^{2} + 5 = 16 x

Move

16 x

to the left side

12 x^{2} + 5 - 16 x = 0

Write in the standard form

a x^{2} + b x + c = 0

12 x^{2} - 16 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 12 \cdot 5}{2 \cdot 12}

(- 16)^{2} - 4 \cdot 12 \cdot 5 = 4

x_{1, 2} = \frac{- ( - 16 ) \pm 4}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 16 ) + 4}{2 \cdot 12}, x_{2} = \frac{- ( - 16 ) - 4}{2 \cdot 12}

x = \frac{- ( - 16 ) + 4}{2 \cdot 12} : \frac{5}{6}

x = \frac{- ( - 16 ) - 4}{2 \cdot 12} : \frac{1}{2}

The solutions to the quadratic equation are:

x = \frac{5}{6}, x = \frac{1}{2}

\frac{- 3}{- 2}

(32 x^{- 35} y^{20})^{\frac{3}{5}}

3^{2} + 2^{2} = c^{2}

6.12 = \frac{x ^{2}}{0.6}

\frac{u}{7} < 5

What are the solutions to the equation 6x^2+5/2 =8x ?
The solutions to the equation 6x^2+5/2 =8x are x= 5/6 ,x= 1/2
Find the zeros of 6x^2+5/2 =8x
The zeros of 6x^2+5/2 =8x are x= 5/6 ,x= 1/2