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

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

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

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

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5 x^{2} + 2 = 8 x

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

Decimal Notation

x = 1.28989 \dots, x = 0.31010 \dots

Solution steps

5 x^{2} + 2 = 8 x

Move

8 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

(- 8)^{2} - 4 \cdot 5 \cdot 2 = 26

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

565.26 x^{(2)} - 11195 x + 26725 = 1616748

x^{2} - 18 x + 21 = - 3 x

(x + 1)^{2} + (x + 2)^{2} + (x + 3)^{2} = x^{2} + 12 x + 64

6 x^{2} - 5 x + 7 = 4 x^{2} + 11

3 x^{2} + 12 x + 9

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