What are the solutions to the equation 4x^2-11x+5=0 ?

The solutions to the equation 4x^2-11x+5=0 are x=(11+sqrt(41))/8 ,x=(11-sqrt(41))/8

Find the zeros of 4x^2-11x+5=0

The zeros of 4x^2-11x+5=0 are x=(11+sqrt(41))/8 ,x=(11-sqrt(41))/8

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4 x^{2} - 11 x + 5 = 0

x = \frac{11 + 41}{8}, x = \frac{11 - 41}{8}

Decimal Notation

x = 2.17539 \dots, x = 0.57460 \dots

Solution steps

4 x^{2} - 11 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 \cdot 5}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 \cdot 5 = 41

x_{1, 2} = \frac{- ( - 11 ) \pm 41}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 41}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 41}{2 \cdot 4}

x = \frac{- ( - 11 ) + 41}{2 \cdot 4} : \frac{11 + 41}{8}

x = \frac{- ( - 11 ) - 41}{2 \cdot 4} : \frac{11 - 41}{8}

The solutions to the quadratic equation are:

x = \frac{11 + 41}{8}, x = \frac{11 - 41}{8}

15 t - 1.86 t^{2} - 25 = 0

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

56 = - x^{2} + 15 x

(x - 1) (5 x + 1) = 216

- 0.5 x^{2} - 30 x + 350 = 0

What are the solutions to the equation 4x^2-11x+5=0 ?
The solutions to the equation 4x^2-11x+5=0 are x=(11+sqrt(41))/8 ,x=(11-sqrt(41))/8
Find the zeros of 4x^2-11x+5=0
The zeros of 4x^2-11x+5=0 are x=(11+sqrt(41))/8 ,x=(11-sqrt(41))/8