What are the solutions to the equation (5x^2)/2 = x/4 ?

The solutions to the equation (5x^2)/2 = x/4 are x= 1/10 ,x=0

Find the zeros of (5x^2)/2 = x/4

The zeros of (5x^2)/2 = x/4 are x= 1/10 ,x=0

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\frac{5 x ^{2}}{2} = \frac{x}{4}

x = \frac{1}{10}, x = 0

Decimal Notation

x = 0.1, x = 0

Solution steps

\frac{5 x ^{2}}{2} = \frac{x}{4}

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{5 x ^{2}}{2} \cdot 4 = \frac{x}{4} \cdot 4

Simplify

10 x^{2} = x

Move

x

to the left side

10 x^{2} - x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 10 \cdot 0}{2 \cdot 10}

(- 1)^{2} - 4 \cdot 10 \cdot 0 = 1

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

Separate the solutions

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

x = \frac{- ( - 1 ) + 1}{2 \cdot 10} : \frac{1}{10}

x = \frac{- ( - 1 ) - 1}{2 \cdot 10} : 0

The solutions to the quadratic equation are:

x = \frac{1}{10}, x = 0

5 x^{2} + 8 x - 1 = 8 x^{2} - 5 x - 1

4 x^{2} - 9 = - 6 x

\frac{1}{2} x^{2} + 2 x + 3 = 0

4 x^{2} + 25 x + 8 = 0

x \cdot 2 x = 4 \cdot 13

What are the solutions to the equation (5x^2)/2 = x/4 ?
The solutions to the equation (5x^2)/2 = x/4 are x= 1/10 ,x=0
Find the zeros of (5x^2)/2 = x/4
The zeros of (5x^2)/2 = x/4 are x= 1/10 ,x=0