What are the solutions to the equation 5/2 x+2/3 x= 95/2 x^2 ?

The solutions to the equation 5/2 x+2/3 x= 95/2 x^2 are x= 1/15 ,x=0

Find the zeros of 5/2 x+2/3 x= 95/2 x^2

The zeros of 5/2 x+2/3 x= 95/2 x^2 are x= 1/15 ,x=0

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\frac{5}{2} x + \frac{2}{3} x = \frac{95}{2} x^{2}

x = \frac{1}{15}, x = 0

Decimal Notation

x = 0.06666 \dots, x = 0

Solution steps

\frac{5}{2} x + \frac{2}{3} x = \frac{95}{2} x^{2}

Find Least Common Multiplier of

2, 3 : 6

Multiply by LCM=

6

\frac{5}{2} x \cdot 6 + \frac{2}{3} x \cdot 6 = \frac{95}{2} x^{2} \cdot 6

Simplify

15 x + 4 x = 285 x^{2}

19 x = 285 x^{2}

Switch sides

285 x^{2} = 19 x

Move

19 x

to the left side

285 x^{2} - 19 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 285 \cdot 0}{2 \cdot 285}

(- 19)^{2} - 4 \cdot 285 \cdot 0 = 19

x_{1, 2} = \frac{- ( - 19 ) \pm 19}{2 \cdot 285}

Separate the solutions

x_{1} = \frac{- ( - 19 ) + 19}{2 \cdot 285}, x_{2} = \frac{- ( - 19 ) - 19}{2 \cdot 285}

x = \frac{- ( - 19 ) + 19}{2 \cdot 285} : \frac{1}{15}

x = \frac{- ( - 19 ) - 19}{2 \cdot 285} : 0

The solutions to the quadratic equation are:

x = \frac{1}{15}, x = 0

x, 2 x^{2} + 4 y^{2} + 4 x + 4 x y + 1 = 2 x

(d) 2 x^{2} - 5 x = (x - 1)^{2}

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

x, f = (2 x - 1)^{2} + 3

x, (x^{2} + c) y = 1

What are the solutions to the equation 5/2 x+2/3 x= 95/2 x^2 ?
The solutions to the equation 5/2 x+2/3 x= 95/2 x^2 are x= 1/15 ,x=0
Find the zeros of 5/2 x+2/3 x= 95/2 x^2
The zeros of 5/2 x+2/3 x= 95/2 x^2 are x= 1/15 ,x=0