What are the solutions to the equation 4x^2=13x ?

The solutions to the equation 4x^2=13x are x=0,x= 13/4

Find the zeros of 4x^2=13x

The zeros of 4x^2=13x are x=0,x= 13/4

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4 x^{2} = 13 x

x = 0, x = \frac{13}{4}

Decimal Notation

x = 0, x = 3.25

Solution steps

4 x^{2} = 13 x

Move

13 x

to the left side

4 x^{2} - 13 x = 0

Factor

4 x^{2} - 13 x : x (4 x - 13)

x (4 x - 13) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 13 = 0

Solve

4 x - 13 = 0 : x = \frac{13}{4}

The solutions to the quadratic equation are:

x = 0, x = \frac{13}{4}

x, x^{2} + 2 x y + 4 = 2 x y

\frac{x ^{2} + 1}{2} = 2 x - 1

5 - x = 16 - 16 x + 4 x^{2}

- 4.9 x^{2} + 20 x + 75 = 0

6 x (x - 1) = 49 - 13 x

What are the solutions to the equation 4x^2=13x ?
The solutions to the equation 4x^2=13x are x=0,x= 13/4
Find the zeros of 4x^2=13x
The zeros of 4x^2=13x are x=0,x= 13/4