What are the solutions to the equation 6x^2-53x=9 ?

The solutions to the equation 6x^2-53x=9 are x=9,x=-1/6

Find the zeros of 6x^2-53x=9

The zeros of 6x^2-53x=9 are x=9,x=-1/6

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6 x^{2} - 53 x = 9

x = 9, x = - \frac{1}{6}

Decimal Notation

x = 9, x = - 0.16666 \dots

Solution steps

6 x^{2} - 53 x = 9

Move

9

to the left side

6 x^{2} - 53 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 53 ) \pm ( - 53 ) ^{2} - 4 \cdot 6 ( - 9 )}{2 \cdot 6}

(- 53)^{2} - 4 \cdot 6 (- 9) = 55

x_{1, 2} = \frac{- ( - 53 ) \pm 55}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 53 ) + 55}{2 \cdot 6}, x_{2} = \frac{- ( - 53 ) - 55}{2 \cdot 6}

x = \frac{- ( - 53 ) + 55}{2 \cdot 6} : 9

x = \frac{- ( - 53 ) - 55}{2 \cdot 6} : - \frac{1}{6}

The solutions to the quadratic equation are:

x = 9, x = - \frac{1}{6}

\frac{b - 2 x ^{2}}{a} = 5

x^{2} = 8 x - 15

(3 x - 5) (4 - 2 x) = 0

x^{2} + 16 x + 56 = 0

12 x^{2} + 23 x - 24 = 0

What are the solutions to the equation 6x^2-53x=9 ?
The solutions to the equation 6x^2-53x=9 are x=9,x=-1/6
Find the zeros of 6x^2-53x=9
The zeros of 6x^2-53x=9 are x=9,x=-1/6