What are the solutions to the equation 0.75x^2-1.7x+0.5=0 ?

The solutions to the equation 0.75x^2-1.7x+0.5=0 are x=(17+sqrt(139))/(15),x=(17-sqrt(139))/(15)

Find the zeros of 0.75x^2-1.7x+0.5=0

The zeros of 0.75x^2-1.7x+0.5=0 are x=(17+sqrt(139))/(15),x=(17-sqrt(139))/(15)

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0.75 x^{2} - 1.7 x + 0.5 = 0

x = \frac{17 + 139}{15}, x = \frac{17 - 139}{15}

Decimal Notation

x = 1.91932 \dots, x = 0.34734 \dots

Solution steps

0.75 x^{2} - 1.7 x + 0.5 = 0

Multiply both sides by

100

75 x^{2} - 170 x + 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 170 ) \pm ( - 170 ) ^{2} - 4 \cdot 75 \cdot 50}{2 \cdot 75}

(- 170)^{2} - 4 \cdot 75 \cdot 50 = 10139

x_{1, 2} = \frac{- ( - 170 ) \pm 10 139}{2 \cdot 75}

Separate the solutions

x_{1} = \frac{- ( - 170 ) + 10 139}{2 \cdot 75}, x_{2} = \frac{- ( - 170 ) - 10 139}{2 \cdot 75}

x = \frac{- ( - 170 ) + 10 139}{2 \cdot 75} : \frac{17 + 139}{15}

x = \frac{- ( - 170 ) - 10 139}{2 \cdot 75} : \frac{17 - 139}{15}

The solutions to the quadratic equation are:

x = \frac{17 + 139}{15}, x = \frac{17 - 139}{15}

14 x^{2} = 3, 5 x = 0

3 x^{2} - 3 x - 8 = 0

5 x^{2} - 2 x + 6 = 0

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

x^{2} - 5 x = 3 x - 4 x

What are the solutions to the equation 0.75x^2-1.7x+0.5=0 ?
The solutions to the equation 0.75x^2-1.7x+0.5=0 are x=(17+sqrt(139))/(15),x=(17-sqrt(139))/(15)
Find the zeros of 0.75x^2-1.7x+0.5=0
The zeros of 0.75x^2-1.7x+0.5=0 are x=(17+sqrt(139))/(15),x=(17-sqrt(139))/(15)