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

The solutions to the equation 2x^2-9x-2=-6 are x=4,x= 1/2

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

The zeros of 2x^2-9x-2=-6 are x=4,x= 1/2

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

x = 4, x = \frac{1}{2}

Decimal Notation

x = 4, x = 0.5

Solution steps

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

Move

6

to the left side

2 x^{2} - 9 x + 4 = 0

Solve with the quadratic formula

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

(- 9)^{2} - 4 \cdot 2 \cdot 4 = 7

x_{1, 2} = \frac{- ( - 9 ) \pm 7}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 7}{2 \cdot 2}, x_{2} = \frac{- ( - 9 ) - 7}{2 \cdot 2}

x = \frac{- ( - 9 ) + 7}{2 \cdot 2} : 4

x = \frac{- ( - 9 ) - 7}{2 \cdot 2} : \frac{1}{2}

The solutions to the quadratic equation are:

x = 4, x = \frac{1}{2}

\frac{( 2 x \cdot ( x - 4 ) )}{3} + \frac{x}{5} = \frac{5}{3}

\frac{x ^{2}}{6} - \frac{24}{9} = 0

4 x^{2} - 14 x - 30 = 0

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

5 y^{2} - 25 y = 0

What are the solutions to the equation 2x^2-9x-2=-6 ?
The solutions to the equation 2x^2-9x-2=-6 are x=4,x= 1/2
Find the zeros of 2x^2-9x-2=-6
The zeros of 2x^2-9x-2=-6 are x=4,x= 1/2