What are the solutions to the equation -4x^2-2x+1=0 ?

The solutions to the equation -4x^2-2x+1=0 are x=-(1+sqrt(5))/4 ,x=(sqrt(5)-1)/4

Find the zeros of -4x^2-2x+1=0

The zeros of -4x^2-2x+1=0 are x=-(1+sqrt(5))/4 ,x=(sqrt(5)-1)/4

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- 4 x^{2} - 2 x + 1 = 0

x = - \frac{1 + 5}{4}, x = \frac{5 - 1}{4}

Decimal Notation

x = - 0.80901 \dots, x = 0.30901 \dots

Solution steps

- 4 x^{2} - 2 x + 1 = 0

Solve with the quadratic formula

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

(- 2)^{2} - 4 (- 4) \cdot 1 = 25

x_{1, 2} = \frac{- ( - 2 ) \pm 2 5}{2 ( - 4 )}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 5}{2 ( - 4 )}, x_{2} = \frac{- ( - 2 ) - 2 5}{2 ( - 4 )}

x = \frac{- ( - 2 ) + 2 5}{2 ( - 4 )} : - \frac{1 + 5}{4}

x = \frac{- ( - 2 ) - 2 5}{2 ( - 4 )} : \frac{5 - 1}{4}

The solutions to the quadratic equation are:

x = - \frac{1 + 5}{4}, x = \frac{5 - 1}{4}

x, f = x^{2} + k

x, f = x^{2} + y

4 x^{2} - 16 x = 48

4 x^{2} + 107 x + 313 = - x^{2} + 7 x - 7

b (x) = - x^{2} + 46 x - 205

What are the solutions to the equation -4x^2-2x+1=0 ?
The solutions to the equation -4x^2-2x+1=0 are x=-(1+sqrt(5))/4 ,x=(sqrt(5)-1)/4
Find the zeros of -4x^2-2x+1=0
The zeros of -4x^2-2x+1=0 are x=-(1+sqrt(5))/4 ,x=(sqrt(5)-1)/4