What are the solutions to the equation -4x^2-9x-2=0 ?

The solutions to the equation -4x^2-9x-2=0 are x=-2,x=-1/4

Find the zeros of -4x^2-9x-2=0

The zeros of -4x^2-9x-2=0 are x=-2,x=-1/4

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

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

Decimal Notation

x = - 2, x = - 0.25

Solution steps

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

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- ( - 9 ) \pm 7}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 7}{2 ( - 4 )}, x_{2} = \frac{- ( - 9 ) - 7}{2 ( - 4 )}

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

x = \frac{- ( - 9 ) - 7}{2 ( - 4 )} : - \frac{1}{4}

The solutions to the quadratic equation are:

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

3 q^{2} - 100 q + 750 = 0

- x^{2} - 18 x + 20 = 0

(2 x + 3)^{2} = - 6

(3 x + 1) (1 - x) - 3 (x + 1)^{2} = x - 3

6 x^{2} + 10 x - 5 = 0

What are the solutions to the equation -4x^2-9x-2=0 ?
The solutions to the equation -4x^2-9x-2=0 are x=-2,x=-1/4
Find the zeros of -4x^2-9x-2=0
The zeros of -4x^2-9x-2=0 are x=-2,x=-1/4