What are the solutions to the equation (x^2)/2-(3x)/4 =0 ?

The solutions to the equation (x^2)/2-(3x)/4 =0 are x= 3/2 ,x=0

Find the zeros of (x^2)/2-(3x)/4 =0

The zeros of (x^2)/2-(3x)/4 =0 are x= 3/2 ,x=0

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\frac{x ^{2}}{2} - \frac{3 x}{4} = 0

x = \frac{3}{2}, x = 0

Decimal Notation

x = 1.5, x = 0

Solution steps

\frac{x ^{2}}{2} - \frac{3 x}{4} = 0

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{x ^{2}}{2} \cdot 4 - \frac{3 x}{4} \cdot 4 = 0 \cdot 4

Simplify

2 x^{2} - 3 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 \cdot 0 = 3

x_{1, 2} = \frac{- ( - 3 ) \pm 3}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 3}{2 \cdot 2}, x_{2} = \frac{- ( - 3 ) - 3}{2 \cdot 2}

x = \frac{- ( - 3 ) + 3}{2 \cdot 2} : \frac{3}{2}

x = \frac{- ( - 3 ) - 3}{2 \cdot 2} : 0

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = 0

120000 = 350 x - 0.25 x^{2}

x^{2} + 6 x - 36 = 0

y^{2} + 4 y - 3 = 0

3 x^{2} + 5 x + \frac{3}{4} = 0

0 = 2 (x - 3)^{2} + 5

What are the solutions to the equation (x^2)/2-(3x)/4 =0 ?
The solutions to the equation (x^2)/2-(3x)/4 =0 are x= 3/2 ,x=0
Find the zeros of (x^2)/2-(3x)/4 =0
The zeros of (x^2)/2-(3x)/4 =0 are x= 3/2 ,x=0