What are the solutions to the equation 5x^2-17x+11=0 ?

The solutions to the equation 5x^2-17x+11=0 are x=(17+sqrt(69))/(10),x=(17-sqrt(69))/(10)

Find the zeros of 5x^2-17x+11=0

The zeros of 5x^2-17x+11=0 are x=(17+sqrt(69))/(10),x=(17-sqrt(69))/(10)

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5 x^{2} - 17 x + 11 = 0

x = \frac{17 + 69}{10}, x = \frac{17 - 69}{10}

Decimal Notation

x = 2.53066 \dots, x = 0.86933 \dots

Solution steps

5 x^{2} - 17 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 5 \cdot 11}{2 \cdot 5}

(- 17)^{2} - 4 \cdot 5 \cdot 11 = 69

x_{1, 2} = \frac{- ( - 17 ) \pm 69}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 17 ) + 69}{2 \cdot 5}, x_{2} = \frac{- ( - 17 ) - 69}{2 \cdot 5}

x = \frac{- ( - 17 ) + 69}{2 \cdot 5} : \frac{17 + 69}{10}

x = \frac{- ( - 17 ) - 69}{2 \cdot 5} : \frac{17 - 69}{10}

The solutions to the quadratic equation are:

x = \frac{17 + 69}{10}, x = \frac{17 - 69}{10}

x^{2} - 1 = 2 x - 1

x, - 5 x (8 x - 7) = 0

x^{2} + 52 x - 17.25 = 0

3 x^{2} + 18 x = - 15

75 x^{2} + 291600 x + 1944 = 2244

What are the solutions to the equation 5x^2-17x+11=0 ?
The solutions to the equation 5x^2-17x+11=0 are x=(17+sqrt(69))/(10),x=(17-sqrt(69))/(10)
Find the zeros of 5x^2-17x+11=0
The zeros of 5x^2-17x+11=0 are x=(17+sqrt(69))/(10),x=(17-sqrt(69))/(10)