What are the solutions to the equation 3x^2+2=8x ?

The solutions to the equation 3x^2+2=8x are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3

Find the zeros of 3x^2+2=8x

The zeros of 3x^2+2=8x are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3

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3 x^{2} + 2 = 8 x

x = \frac{4 + 10}{3}, x = \frac{4 - 10}{3}

Decimal Notation

x = 2.38742 \dots, x = 0.27924 \dots

Solution steps

3 x^{2} + 2 = 8 x

Move

8 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 2}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 \cdot 2 = 210

x_{1, 2} = \frac{- ( - 8 ) \pm 2 10}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 10}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 10}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 10}{2 \cdot 3} : \frac{4 + 10}{3}

x = \frac{- ( - 8 ) - 2 10}{2 \cdot 3} : \frac{4 - 10}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 10}{3}, x = \frac{4 - 10}{3}

0 = 12 x^{2} - 160 x + 400

- x^{2} + 49 = - 15

4 1^{2} - 4 0^{2} = x^{2}

3 x^{2} + 4 = x + 8

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

What are the solutions to the equation 3x^2+2=8x ?
The solutions to the equation 3x^2+2=8x are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3
Find the zeros of 3x^2+2=8x
The zeros of 3x^2+2=8x are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3