What are the solutions to the equation 5x^2-33x-14=0 ?

The solutions to the equation 5x^2-33x-14=0 are x=7,x=-2/5

Find the zeros of 5x^2-33x-14=0

The zeros of 5x^2-33x-14=0 are x=7,x=-2/5

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5 x^{2} - 33 x - 14 = 0

x = 7, x = - \frac{2}{5}

Decimal Notation

x = 7, x = - 0.4

Solution steps

5 x^{2} - 33 x - 14 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 33 ) \pm ( - 33 ) ^{2} - 4 \cdot 5 ( - 14 )}{2 \cdot 5}

(- 33)^{2} - 4 \cdot 5 (- 14) = 37

x_{1, 2} = \frac{- ( - 33 ) \pm 37}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 33 ) + 37}{2 \cdot 5}, x_{2} = \frac{- ( - 33 ) - 37}{2 \cdot 5}

x = \frac{- ( - 33 ) + 37}{2 \cdot 5} : 7

x = \frac{- ( - 33 ) - 37}{2 \cdot 5} : - \frac{2}{5}

The solutions to the quadratic equation are:

x = 7, x = - \frac{2}{5}

9 x - 5 = 3 x^{2}

x^{2} + 13 x + 31 = 0

(5 x - 2)^{2} = 10 x^{2} + 6 x + 61

x, 2 x^{2} + k x + 2 = 0

x^{2} + 7 = 5

What are the solutions to the equation 5x^2-33x-14=0 ?
The solutions to the equation 5x^2-33x-14=0 are x=7,x=-2/5
Find the zeros of 5x^2-33x-14=0
The zeros of 5x^2-33x-14=0 are x=7,x=-2/5