What are the solutions to the equation -4x^2-11x+3=0 ?

The solutions to the equation -4x^2-11x+3=0 are x=-3,x= 1/4

Find the zeros of -4x^2-11x+3=0

The zeros of -4x^2-11x+3=0 are x=-3,x= 1/4

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- 4 x^{2} - 11 x + 3 = 0

x = - 3, x = \frac{1}{4}

Decimal Notation

x = - 3, x = 0.25

Solution steps

- 4 x^{2} - 11 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 ( - 4 ) \cdot 3}{2 ( - 4 )}

(- 11)^{2} - 4 (- 4) \cdot 3 = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 ( - 4 )}, x_{2} = \frac{- ( - 11 ) - 13}{2 ( - 4 )}

x = \frac{- ( - 11 ) + 13}{2 ( - 4 )} : - 3

x = \frac{- ( - 11 ) - 13}{2 ( - 4 )} : \frac{1}{4}

The solutions to the quadratic equation are:

x = - 3, x = \frac{1}{4}

3 y^{2} - 5 y + 3 = 0

200 - 120 x + 12 x^{2} = 0

3 x^{2} - 36 x + 60 = 0

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

0 = - 12 x^{2} + 3

What are the solutions to the equation -4x^2-11x+3=0 ?
The solutions to the equation -4x^2-11x+3=0 are x=-3,x= 1/4
Find the zeros of -4x^2-11x+3=0
The zeros of -4x^2-11x+3=0 are x=-3,x= 1/4