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

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

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

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

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

x = - \frac{1}{2}, x = \frac{3}{2}

Decimal Notation

x = - 0.5, x = 1.5

Solution steps

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

Solve with the quadratic formula

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

4^{2} - 4 (- 4) \cdot 3 = 8

x_{1, 2} = \frac{- 4 \pm 8}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- 4 + 8}{2 ( - 4 )}, x_{2} = \frac{- 4 - 8}{2 ( - 4 )}

x = \frac{- 4 + 8}{2 ( - 4 )} : - \frac{1}{2}

x = \frac{- 4 - 8}{2 ( - 4 )} : \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2}, x = \frac{3}{2}

2 x^{2} - 10 x - 9 = 0

x, x^{2} + 2 m x + 1 = 0

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

2 x^{2} - \frac{14 10}{5} x

x, x^{2} + y^{2} + z^{2} - 2 x - 4 y + 4 z = 0

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