What are the solutions to the equation factor 9x^2=6x-1 ?

The solutions to the equation factor 9x^2=6x-1 are x= 1/3

Find the zeros of factor 9x^2=6x-1

The zeros of factor 9x^2=6x-1 are x= 1/3

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9 x^{2} = 6 x - 1

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

9 x^{2} = 6 x - 1

Move

1

to the left side

9 x^{2} + 1 = 6 x

Move

6 x

to the left side

9 x^{2} + 1 - 6 x = 0

Write in the standard form

a x^{2} + b x + c = 0

9 x^{2} - 6 x + 1 = 0

Factor

9 x^{2} - 6 x + 1 : (3 x - 1)^{2}

(3 x - 1)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 1 = 0

Solve

3 x - 1 = 0 : x = \frac{1}{3}

The solution to the quadratic equation is:

x = \frac{1}{3}

0.175 x^{2} - 4.6 x - 10 π = 0

0 = - x^{2} + 15 x

b^{2} - 17 b + 16 = - 2 b^{2}

5 x^{2} + 13 x + 9 = 3

4 x^{2} + 23 = 19 x

What are the solutions to the equation factor 9x^2=6x-1 ?
The solutions to the equation factor 9x^2=6x-1 are x= 1/3
Find the zeros of factor 9x^2=6x-1
The zeros of factor 9x^2=6x-1 are x= 1/3