What are the solutions to the equation 6x^2+2=13x ?

The solutions to the equation 6x^2+2=13x are x=2,x= 1/6

Find the zeros of 6x^2+2=13x

The zeros of 6x^2+2=13x are x=2,x= 1/6

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6 x^{2} + 2 = 13 x

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

Decimal Notation

x = 2, x = 0.16666 \dots

Solution steps

6 x^{2} + 2 = 13 x

Move

13 x

to the left side

6 x^{2} + 2 - 13 x = 0

Write in the standard form

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

6 x^{2} - 13 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 13 ) \pm ( - 13 ) ^{2} - 4 \cdot 6 \cdot 2}{2 \cdot 6}

(- 13)^{2} - 4 \cdot 6 \cdot 2 = 11

x_{1, 2} = \frac{- ( - 13 ) \pm 11}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 13 ) + 11}{2 \cdot 6}, x_{2} = \frac{- ( - 13 ) - 11}{2 \cdot 6}

x = \frac{- ( - 13 ) + 11}{2 \cdot 6} : 2

x = \frac{- ( - 13 ) - 11}{2 \cdot 6} : \frac{1}{6}

The solutions to the quadratic equation are:

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

- x = 0.33 (1 + 9.68 x)

- 29

0 = 25 x^{2} + 3.185 x - 7.9625

5 ∣ b - 1 ∣ \leq 15

\frac{3 !}{2 !}

What are the solutions to the equation 6x^2+2=13x ?
The solutions to the equation 6x^2+2=13x are x=2,x= 1/6
Find the zeros of 6x^2+2=13x
The zeros of 6x^2+2=13x are x=2,x= 1/6