What are the solutions to the equation 5x^2-16=8x ?

The solutions to the equation 5x^2-16=8x are x=(4(1+sqrt(6)))/5 ,x=(4(1-sqrt(6)))/5

Find the zeros of 5x^2-16=8x

The zeros of 5x^2-16=8x are x=(4(1+sqrt(6)))/5 ,x=(4(1-sqrt(6)))/5

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5 x^{2} - 16 = 8 x

x = \frac{4 ( 1 + 6 )}{5}, x = \frac{4 ( 1 - 6 )}{5}

Decimal Notation

x = 2.75959 \dots, x = - 1.15959 \dots

Solution steps

5 x^{2} - 16 = 8 x

Move

8 x

to the left side

5 x^{2} - 16 - 8 x = 0

Write in the standard form

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

5 x^{2} - 8 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 ( - 16 )}{2 \cdot 5}

(- 8)^{2} - 4 \cdot 5 (- 16) = 86

x_{1, 2} = \frac{- ( - 8 ) \pm 8 6}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 8 6}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 8 6}{2 \cdot 5}

x = \frac{- ( - 8 ) + 8 6}{2 \cdot 5} : \frac{4 ( 1 + 6 )}{5}

x = \frac{- ( - 8 ) - 8 6}{2 \cdot 5} : \frac{4 ( 1 - 6 )}{5}

The solutions to the quadratic equation are:

x = \frac{4 ( 1 + 6 )}{5}, x = \frac{4 ( 1 - 6 )}{5}

6 x^{2} - 12 x - 90 = 2

\frac{x ^{2}}{2} = 1

9 x - 5 x^{2} = 0

3 x^{2} - 5 = - 5 x - 3

x^{2} + 2 x - 4

What are the solutions to the equation 5x^2-16=8x ?
The solutions to the equation 5x^2-16=8x are x=(4(1+sqrt(6)))/5 ,x=(4(1-sqrt(6)))/5
Find the zeros of 5x^2-16=8x
The zeros of 5x^2-16=8x are x=(4(1+sqrt(6)))/5 ,x=(4(1-sqrt(6)))/5