What are the solutions to the equation 5x^2-15x+2=0 ?

The solutions to the equation 5x^2-15x+2=0 are x=(15+sqrt(185))/(10),x=(15-sqrt(185))/(10)

Find the zeros of 5x^2-15x+2=0

The zeros of 5x^2-15x+2=0 are x=(15+sqrt(185))/(10),x=(15-sqrt(185))/(10)

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5 x^{2} - 15 x + 2 = 0

x = \frac{15 + 185}{10}, x = \frac{15 - 185}{10}

Decimal Notation

x = 2.86014 \dots, x = 0.13985 \dots

Solution steps

5 x^{2} - 15 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 5 \cdot 2}{2 \cdot 5}

(- 15)^{2} - 4 \cdot 5 \cdot 2 = 185

x_{1, 2} = \frac{- ( - 15 ) \pm 185}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 15 ) + 185}{2 \cdot 5}, x_{2} = \frac{- ( - 15 ) - 185}{2 \cdot 5}

x = \frac{- ( - 15 ) + 185}{2 \cdot 5} : \frac{15 + 185}{10}

x = \frac{- ( - 15 ) - 185}{2 \cdot 5} : \frac{15 - 185}{10}

The solutions to the quadratic equation are:

x = \frac{15 + 185}{10}, x = \frac{15 - 185}{10}

x^{2} + \frac{1}{2} x - 2 = 0

\frac{14 \cdot x ^{2}}{2} - 8.69 \cdot 2.4 \cdot (46.1 - x) = 0

x^{2} - \frac{16}{3} x + 2 = 0

x^{2} + 7 x - 250 = 0

(2 x - 1) (4 x + 3) = (2 x - 1) (x - 2)

What are the solutions to the equation 5x^2-15x+2=0 ?
The solutions to the equation 5x^2-15x+2=0 are x=(15+sqrt(185))/(10),x=(15-sqrt(185))/(10)
Find the zeros of 5x^2-15x+2=0
The zeros of 5x^2-15x+2=0 are x=(15+sqrt(185))/(10),x=(15-sqrt(185))/(10)