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

The solutions to the equation 4x^2-11x+3=0 are x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8

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

The zeros of 4x^2-11x+3=0 are x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8

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

x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

Decimal Notation

x = 2.44300 \dots, x = 0.30699 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 11)^{2} - 4 \cdot 4 \cdot 3 = 73

x_{1, 2} = \frac{- ( - 11 ) \pm 73}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 73}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 73}{2 \cdot 4}

x = \frac{- ( - 11 ) + 73}{2 \cdot 4} : \frac{11 + 73}{8}

x = \frac{- ( - 11 ) - 73}{2 \cdot 4} : \frac{11 - 73}{8}

The solutions to the quadratic equation are:

x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

9 x^{2} + 12 x + 6 = 0

2 x^{2} + 5 x + 3 = 0

x, 9 x^{2} - 12 x y + 4 y^{2} + 38 x - 60 y + 121 = 0

- 6 x^{2} + 24 x + 30 = 0

3 x^{2} = 14 x + 2

What are the solutions to the equation 4x^2-11x+3=0 ?
The solutions to the equation 4x^2-11x+3=0 are x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8
Find the zeros of 4x^2-11x+3=0
The zeros of 4x^2-11x+3=0 are x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8