What are the solutions to the equation 6=2x^2-11x ?

The solutions to the equation 6=2x^2-11x are x=6,x=-1/2

Find the zeros of 6=2x^2-11x

The zeros of 6=2x^2-11x are x=6,x=-1/2

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6 = 2 x^{2} - 11 x

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

Decimal Notation

x = 6, x = - 0.5

Solution steps

6 = 2 x^{2} - 11 x

Switch sides

2 x^{2} - 11 x = 6

Move

6

to the left side

2 x^{2} - 11 x - 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 ( - 6 )}{2 \cdot 2}

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x^{2} + x - 342 = 0

x^{2} - 15 x + 56

x, x^{2} + y^{2} + 2 x - 6 y + 35 = 0

- 0.85 q^{2} + 170 q - 2500 = 0

x^{3} + 2 x^{2} - 15 x - 36 = (x - a)^{2} (x - b)

What are the solutions to the equation 6=2x^2-11x ?
The solutions to the equation 6=2x^2-11x are x=6,x=-1/2
Find the zeros of 6=2x^2-11x
The zeros of 6=2x^2-11x are x=6,x=-1/2