What are the solutions to the equation x/4 =(x^2)/9 ?

The solutions to the equation x/4 =(x^2)/9 are x= 9/4 ,x=0

Find the zeros of x/4 =(x^2)/9

The zeros of x/4 =(x^2)/9 are x= 9/4 ,x=0

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\frac{x}{4} = \frac{x ^{2}}{9}

x = \frac{9}{4}, x = 0

Decimal Notation

x = 2.25, x = 0

Solution steps

\frac{x}{4} = \frac{x ^{2}}{9}

Find Least Common Multiplier of

4, 9 : 36

Multiply by LCM=

36

\frac{x}{4} \cdot 36 = \frac{x ^{2}}{9} \cdot 36

Simplify

9 x = 4 x^{2}

Switch sides

4 x^{2} = 9 x

Move

9 x

to the left side

4 x^{2} - 9 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 \cdot 0 = 9

x_{1, 2} = \frac{- ( - 9 ) \pm 9}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 9}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 9}{2 \cdot 4}

x = \frac{- ( - 9 ) + 9}{2 \cdot 4} : \frac{9}{4}

x = \frac{- ( - 9 ) - 9}{2 \cdot 4} : 0

The solutions to the quadratic equation are:

x = \frac{9}{4}, x = 0

3 t^{2} - 24 t = 0

x, 5 x^{2} + 6 x y + 5 y^{2} - 4 x + 4 y - 4 = 0

5 n^{2} + 4 = - 1 + 2 n^{2} + n

2 x^{2} + 8 x = 4

2 x^{2} + 8 x = 3

What are the solutions to the equation x/4 =(x^2)/9 ?
The solutions to the equation x/4 =(x^2)/9 are x= 9/4 ,x=0
Find the zeros of x/4 =(x^2)/9
The zeros of x/4 =(x^2)/9 are x= 9/4 ,x=0