What are the solutions to the equation 0.513x(0.05)/4 =x^2 ?

The solutions to the equation 0.513x(0.05)/4 =x^2 are x=0,x=0.0064125

Find the zeros of 0.513x(0.05)/4 =x^2

The zeros of 0.513x(0.05)/4 =x^2 are x=0,x=0.0064125

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0.513 x \frac{0.05}{4} = x^{2}

x = 0, x = 0.0064125

Solution steps

0.513 x \frac{0.05}{4} = x^{2}

Switch sides

x^{2} = 0.513 x \frac{0.05}{4}

Move

0.513 x \frac{0.05}{4}

to the left side

x^{2} - 0.0064125 x = 0

Factor

x^{2} - 0.0064125 x : x (x - 0.0064125)

x (x - 0.0064125) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 0.0064125 = 0

Solve

x - 0.0064125 = 0 : x = 0.0064125

The solutions to the quadratic equation are:

x = 0, x = 0.0064125

r^{2} + 2 r + 64 = 0

6 x^{2} + 22 x = 8

16 (9 - 2 x)^{2} = 36

4 x^{2} + 4 x + 2 x - 4 = 0

2 (x - 1)^{2} = - 56

What are the solutions to the equation 0.513x(0.05)/4 =x^2 ?
The solutions to the equation 0.513x(0.05)/4 =x^2 are x=0,x=0.0064125
Find the zeros of 0.513x(0.05)/4 =x^2
The zeros of 0.513x(0.05)/4 =x^2 are x=0,x=0.0064125