What are the solutions to the equation 5x^2-2x-9=0 ?

The solutions to the equation 5x^2-2x-9=0 are x=(1+sqrt(46))/5 ,x=(1-sqrt(46))/5

Find the zeros of 5x^2-2x-9=0

The zeros of 5x^2-2x-9=0 are x=(1+sqrt(46))/5 ,x=(1-sqrt(46))/5

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5 x^{2} - 2 x - 9 = 0

x = \frac{1 + 46}{5}, x = \frac{1 - 46}{5}

Decimal Notation

x = 1.55646 \dots, x = - 1.15646 \dots

Solution steps

5 x^{2} - 2 x - 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 5 ( - 9 )}{2 \cdot 5}

(- 2)^{2} - 4 \cdot 5 (- 9) = 246

x_{1, 2} = \frac{- ( - 2 ) \pm 2 46}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 46}{2 \cdot 5}, x_{2} = \frac{- ( - 2 ) - 2 46}{2 \cdot 5}

x = \frac{- ( - 2 ) + 2 46}{2 \cdot 5} : \frac{1 + 46}{5}

x = \frac{- ( - 2 ) - 2 46}{2 \cdot 5} : \frac{1 - 46}{5}

The solutions to the quadratic equation are:

x = \frac{1 + 46}{5}, x = \frac{1 - 46}{5}

z^{2} + 4 z^{6}

6 x^{2} - 36 x + 48

28 x^{3} - 7 x

x^{2} + 2 = 2

What are the solutions to the equation 5x^2-2x-9=0 ?
The solutions to the equation 5x^2-2x-9=0 are x=(1+sqrt(46))/5 ,x=(1-sqrt(46))/5
Find the zeros of 5x^2-2x-9=0
The zeros of 5x^2-2x-9=0 are x=(1+sqrt(46))/5 ,x=(1-sqrt(46))/5