What are the solutions to the equation 5/2 x^2-35/6 x+5/3 =0 ?

The solutions to the equation 5/2 x^2-35/6 x+5/3 =0 are x=2,x= 1/3

Find the zeros of 5/2 x^2-35/6 x+5/3 =0

The zeros of 5/2 x^2-35/6 x+5/3 =0 are x=2,x= 1/3

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\frac{5}{2} x^{2} - \frac{35}{6} x + \frac{5}{3} = 0

x = 2, x = \frac{1}{3}

Decimal Notation

x = 2, x = 0.33333 \dots

Solution steps

\frac{5}{2} x^{2} - \frac{35}{6} x + \frac{5}{3} = 0

Find Least Common Multiplier of

2, 6, 3 : 6

Multiply by LCM=

6

\frac{5}{2} x^{2} \cdot 6 - \frac{35}{6} x \cdot 6 + \frac{5}{3} \cdot 6 = 0 \cdot 6

Simplify

15 x^{2} - 35 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 35 ) \pm ( - 35 ) ^{2} - 4 \cdot 15 \cdot 10}{2 \cdot 15}

(- 35)^{2} - 4 \cdot 15 \cdot 10 = 25

x_{1, 2} = \frac{- ( - 35 ) \pm 25}{2 \cdot 15}

Separate the solutions

x_{1} = \frac{- ( - 35 ) + 25}{2 \cdot 15}, x_{2} = \frac{- ( - 35 ) - 25}{2 \cdot 15}

x = \frac{- ( - 35 ) + 25}{2 \cdot 15} : 2

x = \frac{- ( - 35 ) - 25}{2 \cdot 15} : \frac{1}{3}

The solutions to the quadratic equation are:

x = 2, x = \frac{1}{3}

x, y^{2} + x y - x^{2} = 5

3 x^{2} - 3 x - 1 = x^{2} + 2

9 x^{2} - 28 x + 20 = 0

x^{2} + 7 x - 16 = 2

X^{2} - X - 30 = 0

What are the solutions to the equation 5/2 x^2-35/6 x+5/3 =0 ?
The solutions to the equation 5/2 x^2-35/6 x+5/3 =0 are x=2,x= 1/3
Find the zeros of 5/2 x^2-35/6 x+5/3 =0
The zeros of 5/2 x^2-35/6 x+5/3 =0 are x=2,x= 1/3