What are the solutions to the equation 33x^2-5x-9=0 ?

The solutions to the equation 33x^2-5x-9=0 are x=(5+sqrt(1213))/(66),x=(5-sqrt(1213))/(66)

Find the zeros of 33x^2-5x-9=0

The zeros of 33x^2-5x-9=0 are x=(5+sqrt(1213))/(66),x=(5-sqrt(1213))/(66)

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

x = \frac{5 + 1213}{66}, x = \frac{5 - 1213}{66}

Decimal Notation

x = 0.60345 \dots, x = - 0.45194 \dots

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 33 ( - 9 )}{2 \cdot 33}

(- 5)^{2} - 4 \cdot 33 (- 9) = 1213

x_{1, 2} = \frac{- ( - 5 ) \pm 1213}{2 \cdot 33}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 1213}{2 \cdot 33}, x_{2} = \frac{- ( - 5 ) - 1213}{2 \cdot 33}

x = \frac{- ( - 5 ) + 1213}{2 \cdot 33} : \frac{5 + 1213}{66}

x = \frac{- ( - 5 ) - 1213}{2 \cdot 33} : \frac{5 - 1213}{66}

The solutions to the quadratic equation are:

x = \frac{5 + 1213}{66}, x = \frac{5 - 1213}{66}

\frac{5}{2} = \frac{5 x ^{2}}{4}

x, z = x^{2} + y^{2} - 4

3 x^{2} + 15 x - 72 = 0

(x - 2) \cdot (x + 4) = 0

(5 x + 8) (7 x - 5) = 0

What are the solutions to the equation 33x^2-5x-9=0 ?
The solutions to the equation 33x^2-5x-9=0 are x=(5+sqrt(1213))/(66),x=(5-sqrt(1213))/(66)
Find the zeros of 33x^2-5x-9=0
The zeros of 33x^2-5x-9=0 are x=(5+sqrt(1213))/(66),x=(5-sqrt(1213))/(66)