What are the solutions to the equation x/(3.2)=(x^2)/(7.5) ?

The solutions to the equation x/(3.2)=(x^2)/(7.5) are x=0,x=2.34375

Find the zeros of x/(3.2)=(x^2)/(7.5)

The zeros of x/(3.2)=(x^2)/(7.5) are x=0,x=2.34375

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\frac{x}{3.2} = \frac{x ^{2}}{7.5}

x = 0, x = 2.34375

Solution steps

\frac{x}{3.2} = \frac{x ^{2}}{7.5}

Switch sides

\frac{x ^{2}}{7.5} = \frac{x}{3.2}

Move

\frac{x}{3.2}

to the left side

0.13333 \dots x^{2} - 0.3125 x = 0

Factor

0.13333 \dots x^{2} - 0.3125 x : x (0.13333 \dots x - 0.3125)

x (0.13333 \dots x - 0.3125) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 0.13333 \dots x - 0.3125 = 0

Solve

0.13333 \dots x - 0.3125 = 0 : x = 2.34375

The solutions to the quadratic equation are:

x = 0, x = 2.34375

x^{2} + 50 x - 600 = 0

2 (x - 4)^{2} - 5 = 3

- 0.008 x^{2} + 250 = 0.0016 x^{2} + 0.04 x + 150

x^{2} - 5 = 3

4 x^{2} = - 7 x + 15

What are the solutions to the equation x/(3.2)=(x^2)/(7.5) ?
The solutions to the equation x/(3.2)=(x^2)/(7.5) are x=0,x=2.34375
Find the zeros of x/(3.2)=(x^2)/(7.5)
The zeros of x/(3.2)=(x^2)/(7.5) are x=0,x=2.34375