What are the solutions to the equation 3x^2+2=5x ?

The solutions to the equation 3x^2+2=5x are x=1,x= 2/3

Find the zeros of 3x^2+2=5x

The zeros of 3x^2+2=5x are x=1,x= 2/3

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3 x^{2} + 2 = 5 x

x = 1, x = \frac{2}{3}

Decimal Notation

x = 1, x = 0.66666 \dots

Solution steps

3 x^{2} + 2 = 5 x

Move

5 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 \cdot 2}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 \cdot 2 = 1

x_{1, 2} = \frac{- ( - 5 ) \pm 1}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 1}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 1}{2 \cdot 3}

x = \frac{- ( - 5 ) + 1}{2 \cdot 3} : 1

x = \frac{- ( - 5 ) - 1}{2 \cdot 3} : \frac{2}{3}

The solutions to the quadratic equation are:

x = 1, x = \frac{2}{3}

- 6 x^{2} = - 9 x + 7

\frac{2}{3} + \frac{1}{12}

21 c^{2} + 22 c - 24

44 > 7 + s + 26

1 \cdot 1

What are the solutions to the equation 3x^2+2=5x ?
The solutions to the equation 3x^2+2=5x are x=1,x= 2/3
Find the zeros of 3x^2+2=5x
The zeros of 3x^2+2=5x are x=1,x= 2/3